Sr Examen
Integral de ctg(x)^4/sin(x)^2 dx
Solución
Ha introducido
[src]
oo / | | 4 | cot (x) | ------- dx | 2 | sin (x) | / pi -- 4
$$\int\limits_{\frac{\pi}{4}}^{\infty} \frac{\cot^{4}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\, dx$$
Integral(cot(x)^4/sin(x)^2, (x, pi/4, oo))
Respuesta (Indefinida)
[src]
/ | | 4 | cot (x) cos(x) cos(x) 2*cos(x) | ------- dx = C - -------- - --------- + --------- | 2 5*sin(x) 5 3 | sin (x) 5*sin (x) 5*sin (x) | /
$$\int \frac{\cot^{4}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\, dx = C - \frac{\cos{\left(x \right)}}{5 \sin{\left(x \right)}} + \frac{2 \cos{\left(x \right)}}{5 \sin^{3}{\left(x \right)}} - \frac{\cos{\left(x \right)}}{5 \sin^{5}{\left(x \right)}}$$
Respuesta
[src]
oo / | | 4 | cot (x) | ------- dx | 2 | sin (x) | / pi -- 4
$$\int\limits_{\frac{\pi}{4}}^{\infty} \frac{\cot^{4}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\, dx$$
=
=
oo / | | 4 | cot (x) | ------- dx | 2 | sin (x) | / pi -- 4
$$\int\limits_{\frac{\pi}{4}}^{\infty} \frac{\cot^{4}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\, dx$$
Integral(cot(x)^4/sin(x)^2, (x, pi/4, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.