Sr Examen
Integral de dx/x*sqrt4(1+x^7) dx
Solución
Ha introducido
[src]
1 / | | 0.25 | / 7\ | \1 + x / | ------------ dx | x | / 0
$$\int\limits_{0}^{1} \frac{\left(x^{7} + 1\right)^{0.25}}{x}\, dx$$
Integral((1 + x^7)^0.25/x, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 0.25 | / 7\ _ / | pi*I\ | \1 + x / 1.75 |_ |-0.25, -0.25 | e | | ------------ dx = C + 0.571428571428571*x * | | | -----| | x 2 1 | 0.75 | 7 | | \ | x / /
$$\int \frac{\left(x^{7} + 1\right)^{0.25}}{x}\, dx = C + 0.571428571428571 x^{1.75} {{}_{2}F_{1}\left(\begin{matrix} -0.25, -0.25 \\ 0.75 \end{matrix}\middle| {\frac{e^{i \pi}}{x^{7}}} \right)}$$
Gráfica
Respuesta
[src]
_
|_ /-0.25, -0.25 | \
0.571428571428571* | | | -1|
2 1 \ 0.75 | /
$$0.571428571428571 {{}_{2}F_{1}\left(\begin{matrix} -0.25, -0.25 \\ 0.75 \end{matrix}\middle| {-1} \right)}$$
=
=
_
|_ /-0.25, -0.25 | \
0.571428571428571* | | | -1|
2 1 \ 0.75 | /
$$0.571428571428571 {{}_{2}F_{1}\left(\begin{matrix} -0.25, -0.25 \\ 0.75 \end{matrix}\middle| {-1} \right)}$$
0.571428571428571*hyper((-0.25, -0.25), (0.75,), -1)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.