Sr Examen
Integral de pi/(2+9x^2)((arctg3x)^2) dx
Solución
Ha introducido
[src]
oo / | | pi 2 | --------*atan (3*x) dx | 2 | 2 + 9*x | / 1/3
$$\int\limits_{\frac{1}{3}}^{\infty} \frac{\pi}{9 x^{2} + 2} \operatorname{atan}^{2}{\left(3 x \right)}\, dx$$
Integral((pi/(2 + 9*x^2))*atan(3*x)^2, (x, 1/3, oo))
Respuesta (Indefinida)
[src]
/ / | | | 2 | pi 2 | atan (3*x) | --------*atan (3*x) dx = C + pi* | ---------- dx | 2 | 2 | 2 + 9*x | 2 + 9*x | | / /
$$\int \frac{\pi}{9 x^{2} + 2} \operatorname{atan}^{2}{\left(3 x \right)}\, dx = C + \pi \int \frac{\operatorname{atan}^{2}{\left(3 x \right)}}{9 x^{2} + 2}\, dx$$
Respuesta
[src]
oo
/
|
| 2
| atan (3*x)
pi* | ---------- dx
| 2
| 2 + 9*x
|
/
1/3
$$\pi \int\limits_{\frac{1}{3}}^{\infty} \frac{\operatorname{atan}^{2}{\left(3 x \right)}}{9 x^{2} + 2}\, dx$$
=
=
oo
/
|
| 2
| atan (3*x)
pi* | ---------- dx
| 2
| 2 + 9*x
|
/
1/3
$$\pi \int\limits_{\frac{1}{3}}^{\infty} \frac{\operatorname{atan}^{2}{\left(3 x \right)}}{9 x^{2} + 2}\, dx$$
pi*Integral(atan(3*x)^2/(2 + 9*x^2), (x, 1/3, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.