Sr Examen
Integral de (arcctg^4)*8x/(1+64*x^2) dx
Solución
Ha introducido
[src]
1 / | | 4 | acot (x)*8*x | ------------ dx | 2 | 1 + 64*x | / 0
$$\int\limits_{0}^{1} \frac{x 8 \operatorname{acot}^{4}{\left(x \right)}}{64 x^{2} + 1}\, dx$$
Integral(((acot(x)^4*8)*x)/(1 + 64*x^2), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | 4 | 4 | acot (x)*8*x | x*acot (x) | ------------ dx = C + 8* | ---------- dx | 2 | 2 | 1 + 64*x | 1 + 64*x | | / /
$$\int \frac{x 8 \operatorname{acot}^{4}{\left(x \right)}}{64 x^{2} + 1}\, dx = C + 8 \int \frac{x \operatorname{acot}^{4}{\left(x \right)}}{64 x^{2} + 1}\, dx$$
Respuesta
[src]
1
/
|
| 4
| x*acot (x)
8* | ---------- dx
| 2
| 1 + 64*x
|
/
0
$$8 \int\limits_{0}^{1} \frac{x \operatorname{acot}^{4}{\left(x \right)}}{64 x^{2} + 1}\, dx$$
=
=
1
/
|
| 4
| x*acot (x)
8* | ---------- dx
| 2
| 1 + 64*x
|
/
0
$$8 \int\limits_{0}^{1} \frac{x \operatorname{acot}^{4}{\left(x \right)}}{64 x^{2} + 1}\, dx$$
8*Integral(x*acot(x)^4/(1 + 64*x^2), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.