Sr Examen
Integral de x^2/(sinx*sqrt(1-x^4)) dx
Solución
Ha introducido
[src]
oo / | | 2 | x | ------------------ dx | ________ | / 4 | sin(x)*\/ 1 - x | / 2
$$\int\limits_{2}^{\infty} \frac{x^{2}}{\sqrt{1 - x^{4}} \sin{\left(x \right)}}\, dx$$
Integral(x^2/((sin(x)*sqrt(1 - x^4))), (x, 2, oo))
Respuesta (Indefinida)
[src]
/ / | | | 2 | 2 | x | x | ------------------ dx = C + | -------------------------------------- dx | ________ | ____________________________ | / 4 | / / 2\ | sin(x)*\/ 1 - x | \/ -(1 + x)*\1 + x /*(-1 + x) *sin(x) | | / /
$$\int \frac{x^{2}}{\sqrt{1 - x^{4}} \sin{\left(x \right)}}\, dx = C + \int \frac{x^{2}}{\sqrt{- \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \sin{\left(x \right)}}\, dx$$
Respuesta
[src]
oo / | | 2 | x | -------------------------------------- dx | ____________________________ | / / 2\ | \/ -(1 + x)*\1 + x /*(-1 + x) *sin(x) | / 2
$$\int\limits_{2}^{\infty} \frac{x^{2}}{\sqrt{- \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \sin{\left(x \right)}}\, dx$$
=
=
oo / | | 2 | x | -------------------------------------- dx | ____________________________ | / / 2\ | \/ -(1 + x)*\1 + x /*(-1 + x) *sin(x) | / 2
$$\int\limits_{2}^{\infty} \frac{x^{2}}{\sqrt{- \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \sin{\left(x \right)}}\, dx$$
Integral(x^2/(sqrt(-(1 + x)*(1 + x^2)*(-1 + x))*sin(x)), (x, 2, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.