Sr Examen
Integral de sin2x/sqrtx^3 dx
Solución
Ha introducido
[src]
1 / | | sin(2*x) | -------- dx | 3 | ___ | \/ x | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(2 x \right)}}{\left(\sqrt{x}\right)^{3}}\, dx$$
Integral(sin(2*x)/(sqrt(x))^3, (x, 0, 1))
Gráfica
Respuesta
[src]
____ / 2 \
\/ pi *C|------|*Gamma(1/4)
| ____|
Gamma(1/4)*sin(2) \\/ pi /
- ----------------- + ---------------------------
2*Gamma(5/4) Gamma(5/4)
$$- \frac{\sin{\left(2 \right)} \Gamma\left(\frac{1}{4}\right)}{2 \Gamma\left(\frac{5}{4}\right)} + \frac{\sqrt{\pi} C\left(\frac{2}{\sqrt{\pi}}\right) \Gamma\left(\frac{1}{4}\right)}{\Gamma\left(\frac{5}{4}\right)}$$
=
=
____ / 2 \
\/ pi *C|------|*Gamma(1/4)
| ____|
Gamma(1/4)*sin(2) \\/ pi /
- ----------------- + ---------------------------
2*Gamma(5/4) Gamma(5/4)
$$- \frac{\sin{\left(2 \right)} \Gamma\left(\frac{1}{4}\right)}{2 \Gamma\left(\frac{5}{4}\right)} + \frac{\sqrt{\pi} C\left(\frac{2}{\sqrt{\pi}}\right) \Gamma\left(\frac{1}{4}\right)}{\Gamma\left(\frac{5}{4}\right)}$$
-gamma(1/4)*sin(2)/(2*gamma(5/4)) + sqrt(pi)*fresnelc(2/sqrt(pi))*gamma(1/4)/gamma(5/4)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.