Sr Examen
Otras calculadoras
- Integral impropia
- Doble integral
- Triple integral
- Integral curvilínea
- Derivadas paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
-
¿Cómo usar?
- Integral de d{x}:
- Integral de x*√x
- Integral de x^4*e^(x^5)
- Integral de x³lnx
- Integral de x²+4
- Derivada de:
-
sin^22x
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Expresiones idénticas
- sin^22x
- seno de al cuadrado 2x
- sin22x
- sin²2x
- sin en el grado 22x
- sin^22xdx
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Expresiones con funciones
- Seno sin
- sin(1/x)^2
- sin^25x
- sin(x)/x
- sin(x)/x^(3/2)
- sin(x)/((x^3)+2)^(1/2)
Integral de sin^22x dx
Solución
Ha introducido
[src]
1 / | | 22 | sin (x) dx | / 0
$$\int\limits_{0}^{1} \sin^{22}{\left(x \right)}\, dx$$
Integral(sin(x)^22, (x, 0, 1))
Gráfica
Respuesta
[src]
3 5 7 9 11 15 13 17 19 21 88179 88179*cos(1)*sin(1) 29393*sin (1)*cos(1) 29393*sin (1)*cos(1) 12597*sin (1)*cos(1) 4199*sin (1)*cos(1) 4199*sin (1)*cos(1) 2261*sin (1)*cos(1) 323*sin (1)*cos(1) 133*sin (1)*cos(1) 21*sin (1)*cos(1) sin (1)*cos(1) ------ - ------------------- - -------------------- - -------------------- - -------------------- - ------------------- - -------------------- - -------------------- - ------------------- - ------------------- - ------------------ - --------------- 524288 524288 262144 327680 163840 61440 67584 42240 5632 2640 440 22
$$- \frac{88179 \sin{\left(1 \right)} \cos{\left(1 \right)}}{524288} - \frac{29393 \sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{262144} - \frac{29393 \sin^{5}{\left(1 \right)} \cos{\left(1 \right)}}{327680} - \frac{12597 \sin^{7}{\left(1 \right)} \cos{\left(1 \right)}}{163840} - \frac{4199 \sin^{9}{\left(1 \right)} \cos{\left(1 \right)}}{61440} - \frac{4199 \sin^{11}{\left(1 \right)} \cos{\left(1 \right)}}{67584} - \frac{323 \sin^{13}{\left(1 \right)} \cos{\left(1 \right)}}{5632} - \frac{2261 \sin^{15}{\left(1 \right)} \cos{\left(1 \right)}}{42240} - \frac{133 \sin^{17}{\left(1 \right)} \cos{\left(1 \right)}}{2640} - \frac{21 \sin^{19}{\left(1 \right)} \cos{\left(1 \right)}}{440} - \frac{\sin^{21}{\left(1 \right)} \cos{\left(1 \right)}}{22} + \frac{88179}{524288}$$
=
=
3 5 7 9 11 15 13 17 19 21 88179 88179*cos(1)*sin(1) 29393*sin (1)*cos(1) 29393*sin (1)*cos(1) 12597*sin (1)*cos(1) 4199*sin (1)*cos(1) 4199*sin (1)*cos(1) 2261*sin (1)*cos(1) 323*sin (1)*cos(1) 133*sin (1)*cos(1) 21*sin (1)*cos(1) sin (1)*cos(1) ------ - ------------------- - -------------------- - -------------------- - -------------------- - ------------------- - -------------------- - -------------------- - ------------------- - ------------------- - ------------------ - --------------- 524288 524288 262144 327680 163840 61440 67584 42240 5632 2640 440 22
$$- \frac{88179 \sin{\left(1 \right)} \cos{\left(1 \right)}}{524288} - \frac{29393 \sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{262144} - \frac{29393 \sin^{5}{\left(1 \right)} \cos{\left(1 \right)}}{327680} - \frac{12597 \sin^{7}{\left(1 \right)} \cos{\left(1 \right)}}{163840} - \frac{4199 \sin^{9}{\left(1 \right)} \cos{\left(1 \right)}}{61440} - \frac{4199 \sin^{11}{\left(1 \right)} \cos{\left(1 \right)}}{67584} - \frac{323 \sin^{13}{\left(1 \right)} \cos{\left(1 \right)}}{5632} - \frac{2261 \sin^{15}{\left(1 \right)} \cos{\left(1 \right)}}{42240} - \frac{133 \sin^{17}{\left(1 \right)} \cos{\left(1 \right)}}{2640} - \frac{21 \sin^{19}{\left(1 \right)} \cos{\left(1 \right)}}{440} - \frac{\sin^{21}{\left(1 \right)} \cos{\left(1 \right)}}{22} + \frac{88179}{524288}$$
88179/524288 - 88179*cos(1)*sin(1)/524288 - 29393*sin(1)^3*cos(1)/262144 - 29393*sin(1)^5*cos(1)/327680 - 12597*sin(1)^7*cos(1)/163840 - 4199*sin(1)^9*cos(1)/61440 - 4199*sin(1)^11*cos(1)/67584 - 2261*sin(1)^15*cos(1)/42240 - 323*sin(1)^13*cos(1)/5632 - 133*sin(1)^17*cos(1)/2640 - 21*sin(1)^19*cos(1)/440 - sin(1)^21*cos(1)/22
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.