Sr Examen
Integral de cos(y^3) dx
Solución
Ha introducido
[src]
1 / | | / 3\ | cos\y / dy | / 0
$$\int\limits_{0}^{1} \cos{\left(y^{3} \right)}\, dy$$
Integral(cos(y^3), (y, 0, 1))
Respuesta (Indefinida)
[src]
_ / | 6 \
/ |_ | 1/6 | -y |
| y*Gamma(1/6)* | | | ----|
| / 3\ 1 2 \1/2, 7/6 | 4 /
| cos\y / dy = C + -----------------------------------
| 6*Gamma(7/6)
/
$$\int \cos{\left(y^{3} \right)}\, dy = C + \frac{y \Gamma\left(\frac{1}{6}\right) {{}_{1}F_{2}\left(\begin{matrix} \frac{1}{6} \\ \frac{1}{2}, \frac{7}{6} \end{matrix}\middle| {- \frac{y^{6}}{4}} \right)}}{6 \Gamma\left(\frac{7}{6}\right)}$$
Gráfica
Respuesta
[src]
_
|_ / 1/6 | \
Gamma(1/6)* | | | -1/4|
1 2 \1/2, 7/6 | /
---------------------------------
6*Gamma(7/6)
$$\frac{\Gamma\left(\frac{1}{6}\right) {{}_{1}F_{2}\left(\begin{matrix} \frac{1}{6} \\ \frac{1}{2}, \frac{7}{6} \end{matrix}\middle| {- \frac{1}{4}} \right)}}{6 \Gamma\left(\frac{7}{6}\right)}$$
=
=
_
|_ / 1/6 | \
Gamma(1/6)* | | | -1/4|
1 2 \1/2, 7/6 | /
---------------------------------
6*Gamma(7/6)
$$\frac{\Gamma\left(\frac{1}{6}\right) {{}_{1}F_{2}\left(\begin{matrix} \frac{1}{6} \\ \frac{1}{2}, \frac{7}{6} \end{matrix}\middle| {- \frac{1}{4}} \right)}}{6 \Gamma\left(\frac{7}{6}\right)}$$
gamma(1/6)*hyper((1/6,), (1/2, 7/6), -1/4)/(6*gamma(7/6))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.