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