Sr Examen
Integral de sin(2x)/((5x^3-2x)^(1/2)-1) dx
Solución
Ha introducido
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oo / | | sin(2*x) | ------------------- dx | ____________ | / 3 | \/ 5*x - 2*x - 1 | / 1
$$\int\limits_{1}^{\infty} \frac{\sin{\left(2 x \right)}}{\sqrt{5 x^{3} - 2 x} - 1}\, dx$$
Integral(sin(2*x)/(sqrt(5*x^3 - 2*x) - 1), (x, 1, oo))
Respuesta (Indefinida)
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/ / | | | sin(2*x) | cos(x)*sin(x) | ------------------- dx = C + 2* | --------------------- dx | ____________ | _____________ | / 3 | / 3 | \/ 5*x - 2*x - 1 | -1 + \/ -2*x + 5*x | | / /
$$\int \frac{\sin{\left(2 x \right)}}{\sqrt{5 x^{3} - 2 x} - 1}\, dx = C + 2 \int \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{\sqrt{5 x^{3} - 2 x} - 1}\, dx$$
Respuesta
[src]
oo / | | sin(2*x) | --------------------- dx | _____________ | / 3 | -1 + \/ -2*x + 5*x | / 1
$$\int\limits_{1}^{\infty} \frac{\sin{\left(2 x \right)}}{\sqrt{5 x^{3} - 2 x} - 1}\, dx$$
=
=
oo / | | sin(2*x) | --------------------- dx | _____________ | / 3 | -1 + \/ -2*x + 5*x | / 1
$$\int\limits_{1}^{\infty} \frac{\sin{\left(2 x \right)}}{\sqrt{5 x^{3} - 2 x} - 1}\, dx$$
Integral(sin(2*x)/(-1 + sqrt(-2*x + 5*x^3)), (x, 1, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.