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