Sr Examen
Integral de cos(x^7) dx
Solución
Ha introducido
[src]
1 / | | / 7\ | cos\x / dx | / 0
$$\int\limits_{0}^{1} \cos{\left(x^{7} \right)}\, dx$$
Integral(cos(x^7), (x, 0, 1))
Respuesta (Indefinida)
[src]
_ / 1/14 | 14 \
|_ | | -x |
/ x*Gamma(1/14)* | | 15 | -----|
| 1 2 |1/2, -- | 4 |
| / 7\ \ 14 | /
| cos\x / dx = C + ------------------------------------
| /15\
/ 14*Gamma|--|
\14/
$$\int \cos{\left(x^{7} \right)}\, dx = C + \frac{x \Gamma\left(\frac{1}{14}\right) {{}_{1}F_{2}\left(\begin{matrix} \frac{1}{14} \\ \frac{1}{2}, \frac{15}{14} \end{matrix}\middle| {- \frac{x^{14}}{4}} \right)}}{14 \Gamma\left(\frac{15}{14}\right)}$$
Gráfica
Respuesta
[src]
_ / 1/14 | \
|_ | | |
Gamma(1/14)* | | 15 | -1/4|
1 2 |1/2, -- | |
\ 14 | /
---------------------------------
/15\
14*Gamma|--|
\14/
$$\frac{\Gamma\left(\frac{1}{14}\right) {{}_{1}F_{2}\left(\begin{matrix} \frac{1}{14} \\ \frac{1}{2}, \frac{15}{14} \end{matrix}\middle| {- \frac{1}{4}} \right)}}{14 \Gamma\left(\frac{15}{14}\right)}$$
=
=
_ / 1/14 | \
|_ | | |
Gamma(1/14)* | | 15 | -1/4|
1 2 |1/2, -- | |
\ 14 | /
---------------------------------
/15\
14*Gamma|--|
\14/
$$\frac{\Gamma\left(\frac{1}{14}\right) {{}_{1}F_{2}\left(\begin{matrix} \frac{1}{14} \\ \frac{1}{2}, \frac{15}{14} \end{matrix}\middle| {- \frac{1}{4}} \right)}}{14 \Gamma\left(\frac{15}{14}\right)}$$
gamma(1/14)*hyper((1/14,), (1/2, 15/14), -1/4)/(14*gamma(15/14))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.