Simplificación general
[src]
-1 + atan(5*x) / / 2\ \
cos (-5 + 2*x)*\5*cos(-5 + 2*x)*log(cos(-5 + 2*x)) - 2*\1 + 25*x /*atan(5*x)*sin(-5 + 2*x)/
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2
1 + 25*x
$$\frac{\left(- 2 \left(25 x^{2} + 1\right) \sin{\left(2 x - 5 \right)} \operatorname{atan}{\left(5 x \right)} + 5 \log{\left(\cos{\left(2 x - 5 \right)} \right)} \cos{\left(2 x - 5 \right)}\right) \cos^{\operatorname{atan}{\left(5 x \right)} - 1}{\left(2 x - 5 \right)}}{25 x^{2} + 1}$$
cos(-5 + 2*x)^(-1 + atan(5*x))*(5*cos(-5 + 2*x)*log(cos(-5 + 2*x)) - 2*(1 + 25*x^2)*atan(5*x)*sin(-5 + 2*x))/(1 + 25*x^2)
Unión de expresiones racionales
[src]
atan(5*x) / / 2\ \
cos (-5 + 2*x)*\5*cos(-5 + 2*x)*log(cos(-5 + 2*x)) - 2*\1 + 25*x /*atan(5*x)*sin(-5 + 2*x)/
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/ 2\
\1 + 25*x /*cos(-5 + 2*x)
$$\frac{\left(- 2 \left(25 x^{2} + 1\right) \sin{\left(2 x - 5 \right)} \operatorname{atan}{\left(5 x \right)} + 5 \log{\left(\cos{\left(2 x - 5 \right)} \right)} \cos{\left(2 x - 5 \right)}\right) \cos^{\operatorname{atan}{\left(5 x \right)}}{\left(2 x - 5 \right)}}{\left(25 x^{2} + 1\right) \cos{\left(2 x - 5 \right)}}$$
cos(-5 + 2*x)^atan(5*x)*(5*cos(-5 + 2*x)*log(cos(-5 + 2*x)) - 2*(1 + 25*x^2)*atan(5*x)*sin(-5 + 2*x))/((1 + 25*x^2)*cos(-5 + 2*x))
/ atan(5*x) atan(5*x) 2 atan(5*x) \
-\- 5*cos (-5 + 2*x)*cos(-5 + 2*x)*log(cos(-5 + 2*x)) + 2*cos (-5 + 2*x)*atan(5*x)*sin(-5 + 2*x) + 50*x *cos (-5 + 2*x)*atan(5*x)*sin(-5 + 2*x)/
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2
25*x *cos(-5 + 2*x) + cos(-5 + 2*x)
$$- \frac{50 x^{2} \sin{\left(2 x - 5 \right)} \cos^{\operatorname{atan}{\left(5 x \right)}}{\left(2 x - 5 \right)} \operatorname{atan}{\left(5 x \right)} - 5 \log{\left(\cos{\left(2 x - 5 \right)} \right)} \cos{\left(2 x - 5 \right)} \cos^{\operatorname{atan}{\left(5 x \right)}}{\left(2 x - 5 \right)} + 2 \sin{\left(2 x - 5 \right)} \cos^{\operatorname{atan}{\left(5 x \right)}}{\left(2 x - 5 \right)} \operatorname{atan}{\left(5 x \right)}}{25 x^{2} \cos{\left(2 x - 5 \right)} + \cos{\left(2 x - 5 \right)}}$$
-(-5*cos(-5 + 2*x)^atan(5*x)*cos(-5 + 2*x)*log(cos(-5 + 2*x)) + 2*cos(-5 + 2*x)^atan(5*x)*atan(5*x)*sin(-5 + 2*x) + 50*x^2*cos(-5 + 2*x)^atan(5*x)*atan(5*x)*sin(-5 + 2*x))/(25*x^2*cos(-5 + 2*x) + cos(-5 + 2*x))
/ / I*(-5 + 2*x) I*(5 - 2*x)\ \
atan(5*x) | |e e | |
/ I*(-5 + 2*x) I*(5 - 2*x)\ |5*log|------------- + ------------| / I*(5 - 2*x) I*(-5 + 2*x)\ |
|e e | | \ 2 2 / I*\- e + e /*atan(5*x)|
|------------- + ------------| *|----------------------------------- + --------------------------------------------|
\ 2 2 / | 2 I*(-5 + 2*x) I*(5 - 2*x) |
| 1 + 25*x e e |
| ------------- + ------------ |
\ 2 2 /
$$\left(\frac{i \left(- e^{i \left(5 - 2 x\right)} + e^{i \left(2 x - 5\right)}\right) \operatorname{atan}{\left(5 x \right)}}{\frac{e^{i \left(5 - 2 x\right)}}{2} + \frac{e^{i \left(2 x - 5\right)}}{2}} + \frac{5 \log{\left(\frac{e^{i \left(5 - 2 x\right)}}{2} + \frac{e^{i \left(2 x - 5\right)}}{2} \right)}}{25 x^{2} + 1}\right) \left(\frac{e^{i \left(5 - 2 x\right)}}{2} + \frac{e^{i \left(2 x - 5\right)}}{2}\right)^{\operatorname{atan}{\left(5 x \right)}}$$
atan(5*x) /5*log(cos(-5 + 2*x)) 2*atan(5*x)*sin(-5 + 2*x)\
cos (-5 + 2*x)*|-------------------- - -------------------------|
| 2 cos(-5 + 2*x) |
\ 1 + 25*x /
$$\left(- \frac{2 \sin{\left(2 x - 5 \right)} \operatorname{atan}{\left(5 x \right)}}{\cos{\left(2 x - 5 \right)}} + \frac{5 \log{\left(\cos{\left(2 x - 5 \right)} \right)}}{25 x^{2} + 1}\right) \cos^{\operatorname{atan}{\left(5 x \right)}}{\left(2 x - 5 \right)}$$
cos(-5 + 2*x)^atan(5*x)*(5*log(cos(-5 + 2*x))/(1 + 25*x^2) - 2*atan(5*x)*sin(-5 + 2*x)/cos(-5 + 2*x))
Denominador racional
[src]
-1 + atan(5*x) / 2 \
-cos (-5 + 2*x)*\-5*cos(-5 + 2*x)*log(cos(-5 + 2*x)) + 2*atan(5*x)*sin(-5 + 2*x) + 50*x *atan(5*x)*sin(-5 + 2*x)/
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2
1 + 25*x
$$- \frac{\left(50 x^{2} \sin{\left(2 x - 5 \right)} \operatorname{atan}{\left(5 x \right)} - 5 \log{\left(\cos{\left(2 x - 5 \right)} \right)} \cos{\left(2 x - 5 \right)} + 2 \sin{\left(2 x - 5 \right)} \operatorname{atan}{\left(5 x \right)}\right) \cos^{\operatorname{atan}{\left(5 x \right)} - 1}{\left(2 x - 5 \right)}}{25 x^{2} + 1}$$
-cos(-5 + 2*x)^(-1 + atan(5*x))*(-5*cos(-5 + 2*x)*log(cos(-5 + 2*x)) + 2*atan(5*x)*sin(-5 + 2*x) + 50*x^2*atan(5*x)*sin(-5 + 2*x))/(1 + 25*x^2)
Abrimos la expresión
[src]
atan(5*x) atan(5*x) atan(5*x) atan(5*x) atan(5*x) atan(5*x) atan(5*x) atan(5*x) atan(5*x) atan(5*x)
/ 5 3 3 2 2 5 2 3 5 \ / 5 3 3 2 2 5 2 3 5 \ / 5 3 3 2 2 5 2 3 5 \ 5 / 5 3 3 2 2 5 2 3 5 \ / 5 3 3 2 2 5 2 3 5 \ 3 / 5 3 3 2 2 5 2 3 5 \ 2 3 / 5 3 3 2 2 5 2 3 5 \ 2 / 5 3 3 2 2 5 2 3 5 \ 2 5 / 5 3 3 2 2 5 2 3 5 \ 5 / 5 3 3 2 2 5 2 3 5 \ / 5 3 3 2 2 5 2 3 5 \ 3
5*\- 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)/ *log\- 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)/ 32*\- 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)/ *sin (1)*atan(5*x) 10*\- 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)/ *atan(5*x)*sin(1) 40*\- 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)/ *sin (1)*atan(5*x) 80*\- 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)/ *cos (x)*sin (1)*atan(5*x) 20*\- 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)/ *cos (x)*atan(5*x)*sin(1) 64*\- 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)/ *cos (x)*sin (1)*atan(5*x) 64*\- 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)/ *cos (1)*atan(5*x)*cos(x)*sin(x) 20*\- 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)/ *atan(5*x)*cos(1)*cos(x)*sin(x) 80*\- 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)/ *cos (1)*atan(5*x)*cos(x)*sin(x)
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2 5 3 3 2 2 5 2 3 5 5 3 3 2 2 5 2 3 5 5 3 3 2 2 5 2 3 5 5 3 3 2 2 5 2 3 5 5 3 3 2 2 5 2 3 5 5 3 3 2 2 5 2 3 5 5 3 3 2 2 5 2 3 5 5 3 3 2 2 5 2 3 5 5 3 3 2 2 5 2 3 5
1 + 25*x - 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x) - 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x) - 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x) - 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x) - 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x) - 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x) - 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x) - 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x) - 16*cos (1) - 5*cos(1) + 20*cos (1) - 40*cos (1)*cos (x) + 10*cos (x)*cos(1) + 32*cos (1)*cos (x) - 40*sin (1)*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin (1)*cos(x)*sin(x)
$$- \frac{20 \left(- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}\right)^{\operatorname{atan}{\left(5 x \right)}} \sin{\left(x \right)} \cos{\left(1 \right)} \cos{\left(x \right)} \operatorname{atan}{\left(5 x \right)}}{- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}} - \frac{64 \left(- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}\right)^{\operatorname{atan}{\left(5 x \right)}} \sin{\left(x \right)} \cos^{5}{\left(1 \right)} \cos{\left(x \right)} \operatorname{atan}{\left(5 x \right)}}{- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}} + \frac{80 \left(- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}\right)^{\operatorname{atan}{\left(5 x \right)}} \sin{\left(x \right)} \cos^{3}{\left(1 \right)} \cos{\left(x \right)} \operatorname{atan}{\left(5 x \right)}}{- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}} - \frac{80 \left(- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}\right)^{\operatorname{atan}{\left(5 x \right)}} \sin^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} \operatorname{atan}{\left(5 x \right)}}{- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}} + \frac{20 \left(- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}\right)^{\operatorname{atan}{\left(5 x \right)}} \sin{\left(1 \right)} \cos^{2}{\left(x \right)} \operatorname{atan}{\left(5 x \right)}}{- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}} + \frac{64 \left(- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}\right)^{\operatorname{atan}{\left(5 x \right)}} \sin^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} \operatorname{atan}{\left(5 x \right)}}{- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}} - \frac{32 \left(- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}\right)^{\operatorname{atan}{\left(5 x \right)}} \sin^{5}{\left(1 \right)} \operatorname{atan}{\left(5 x \right)}}{- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}} - \frac{10 \left(- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}\right)^{\operatorname{atan}{\left(5 x \right)}} \sin{\left(1 \right)} \operatorname{atan}{\left(5 x \right)}}{- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}} + \frac{40 \left(- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}\right)^{\operatorname{atan}{\left(5 x \right)}} \sin^{3}{\left(1 \right)} \operatorname{atan}{\left(5 x \right)}}{- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}} + \frac{5 \left(- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)}\right)^{\operatorname{atan}{\left(5 x \right)}} \log{\left(- 40 \sin^{3}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 10 \sin{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} + 32 \sin^{5}{\left(1 \right)} \sin{\left(x \right)} \cos{\left(x \right)} - 40 \cos^{3}{\left(1 \right)} \cos^{2}{\left(x \right)} + 32 \cos^{5}{\left(1 \right)} \cos^{2}{\left(x \right)} + 10 \cos{\left(1 \right)} \cos^{2}{\left(x \right)} - 5 \cos{\left(1 \right)} - 16 \cos^{5}{\left(1 \right)} + 20 \cos^{3}{\left(1 \right)} \right)}}{25 x^{2} + 1}$$
5*(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))^atan(5*x)*log(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))/(1 + 25*x^2) - 32*(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))^atan(5*x)*sin(1)^5*atan(5*x)/(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x)) - 10*(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))^atan(5*x)*atan(5*x)*sin(1)/(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x)) + 40*(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))^atan(5*x)*sin(1)^3*atan(5*x)/(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x)) - 80*(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))^atan(5*x)*cos(x)^2*sin(1)^3*atan(5*x)/(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x)) + 20*(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))^atan(5*x)*cos(x)^2*atan(5*x)*sin(1)/(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x)) + 64*(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))^atan(5*x)*cos(x)^2*sin(1)^5*atan(5*x)/(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x)) - 64*(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))^atan(5*x)*cos(1)^5*atan(5*x)*cos(x)*sin(x)/(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x)) - 20*(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))^atan(5*x)*atan(5*x)*cos(1)*cos(x)*sin(x)/(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x)) + 80*(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))^atan(5*x)*cos(1)^3*atan(5*x)*cos(x)*sin(x)/(-16*cos(1)^5 - 5*cos(1) + 20*cos(1)^3 - 40*cos(1)^3*cos(x)^2 + 10*cos(x)^2*cos(1) + 32*cos(1)^5*cos(x)^2 - 40*sin(1)^3*cos(x)*sin(x) + 10*cos(x)*sin(1)*sin(x) + 32*sin(1)^5*cos(x)*sin(x))
Compilar la expresión
[src]
atan(5*x) /5*log(cos(2*x - 5)) 2*atan(5*x)*sin(2*x - 5)\
cos (2*x - 5)*|------------------- - ------------------------|
| 2 cos(2*x - 5) |
\ 1 + 25*x /
$$\left(- \frac{2 \sin{\left(2 x - 5 \right)} \operatorname{atan}{\left(5 x \right)}}{\cos{\left(2 x - 5 \right)}} + \frac{5 \log{\left(\cos{\left(2 x - 5 \right)} \right)}}{25 x^{2} + 1}\right) \cos^{\operatorname{atan}{\left(5 x \right)}}{\left(2 x - 5 \right)}$$
cos(2*x - 5)^atan(5*x)*(5*log(cos(2*x - 5))/(1 + 25*x^2) - 2*atan(5*x)*sin(2*x - 5)/cos(2*x - 5))
cos(2*x - 5)^atan(5*x)*(5.0*log(cos(2*x - 5))/(1.0 + 25.0*x^2) - 2.0*atan(5*x)*sin(2*x - 5)/cos(2*x - 5))
cos(2*x - 5)^atan(5*x)*(5.0*log(cos(2*x - 5))/(1.0 + 25.0*x^2) - 2.0*atan(5*x)*sin(2*x - 5)/cos(2*x - 5))
atan(5*x) / 2 \
-cos (-5 + 2*x)*\-5*cos(-5 + 2*x)*log(cos(-5 + 2*x)) + 2*atan(5*x)*sin(-5 + 2*x) + 50*x *atan(5*x)*sin(-5 + 2*x)/
--------------------------------------------------------------------------------------------------------------------------
/ 2\
\1 + 25*x /*cos(-5 + 2*x)
$$- \frac{\left(50 x^{2} \sin{\left(2 x - 5 \right)} \operatorname{atan}{\left(5 x \right)} - 5 \log{\left(\cos{\left(2 x - 5 \right)} \right)} \cos{\left(2 x - 5 \right)} + 2 \sin{\left(2 x - 5 \right)} \operatorname{atan}{\left(5 x \right)}\right) \cos^{\operatorname{atan}{\left(5 x \right)}}{\left(2 x - 5 \right)}}{\left(25 x^{2} + 1\right) \cos{\left(2 x - 5 \right)}}$$
-cos(-5 + 2*x)^atan(5*x)*(-5*cos(-5 + 2*x)*log(cos(-5 + 2*x)) + 2*atan(5*x)*sin(-5 + 2*x) + 50*x^2*atan(5*x)*sin(-5 + 2*x))/((1 + 25*x^2)*cos(-5 + 2*x))
