Sr Examen
Integral de x*d*x/(x^2-2*x+30) dx
Solución
Ha introducido
[src]
1 / | | x*d*x | ------------- dx | 2 | x - 2*x + 30 | / 0
$$\int\limits_{0}^{1} \frac{x d x}{\left(x^{2} - 2 x\right) + 30}\, dx$$
Integral(((x*d)*x)/(x^2 - 2*x + 30), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / ____ \\ / | ____ |\/ 29 *(-1 + x)|| | | / 2 \ 14*\/ 29 *atan|---------------|| | x*d*x |log\30 + x - 2*x/ \ 29 /| | ------------- dx = C + d*x + 2*d*|------------------ - -------------------------------| | 2 \ 2 29 / | x - 2*x + 30 | /
$$\int \frac{x d x}{\left(x^{2} - 2 x\right) + 30}\, dx = C + d x + 2 d \left(\frac{\log{\left(x^{2} - 2 x + 30 \right)}}{2} - \frac{14 \sqrt{29} \operatorname{atan}{\left(\frac{\sqrt{29} \left(x - 1\right)}{29} \right)}}{29}\right)$$
Respuesta
[src]
/ / ____\ \
| ____ |\/ 29 | |
|28*\/ 29 *atan|------| |
| \ 29 / |
d*(1 + log(29)) - d*|---------------------- + log(30)|
\ 29 /
$$- d \left(\frac{28 \sqrt{29} \operatorname{atan}{\left(\frac{\sqrt{29}}{29} \right)}}{29} + \log{\left(30 \right)}\right) + d \left(1 + \log{\left(29 \right)}\right)$$
=
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/ / ____\ \
| ____ |\/ 29 | |
|28*\/ 29 *atan|------| |
| \ 29 / |
d*(1 + log(29)) - d*|---------------------- + log(30)|
\ 29 /
$$- d \left(\frac{28 \sqrt{29} \operatorname{atan}{\left(\frac{\sqrt{29}}{29} \right)}}{29} + \log{\left(30 \right)}\right) + d \left(1 + \log{\left(29 \right)}\right)$$
d*(1 + log(29)) - d*(28*sqrt(29)*atan(sqrt(29)/29)/29 + log(30))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.