Integral de sin(5x^3) dx
Solución
Respuesta (Indefinida)
[src]
_ / | 6\
/ 4 |_ | 2/3 | -25*x |
| 5*x *Gamma(2/3)* | | | ------|
| / 3\ 1 2 \3/2, 5/3 | 4 /
| sin\5*x / dx = C + ----------------------------------------
| 6*Gamma(5/3)
/
∫sin(5x3)dx=C+6Γ(35)5x4Γ(32)1F2(3223,35−425x6)
Gráfica
_ / | 6\ _ / | 6\
4 |_ | 2/3 | -25*pi | 4 |_ | 2/3 | -18225*pi |
5*pi *Gamma(2/3)* | | | -------| 135*pi *Gamma(2/3)* | | | ----------|
1 2 \3/2, 5/3 | 2916 / 1 2 \3/2, 5/3 | 16384 /
- ------------------------------------------ + -----------------------------------------------
486*Gamma(5/3) 512*Gamma(5/3)
512Γ(35)135π4Γ(32)1F2(3223,35−1638418225π6)−486Γ(35)5π4Γ(32)1F2(3223,35−291625π6)
=
_ / | 6\ _ / | 6\
4 |_ | 2/3 | -25*pi | 4 |_ | 2/3 | -18225*pi |
5*pi *Gamma(2/3)* | | | -------| 135*pi *Gamma(2/3)* | | | ----------|
1 2 \3/2, 5/3 | 2916 / 1 2 \3/2, 5/3 | 16384 /
- ------------------------------------------ + -----------------------------------------------
486*Gamma(5/3) 512*Gamma(5/3)
512Γ(35)135π4Γ(32)1F2(3223,35−1638418225π6)−486Γ(35)5π4Γ(32)1F2(3223,35−291625π6)
-5*pi^4*gamma(2/3)*hyper((2/3,), (3/2, 5/3), -25*pi^6/2916)/(486*gamma(5/3)) + 135*pi^4*gamma(2/3)*hyper((2/3,), (3/2, 5/3), -18225*pi^6/16384)/(512*gamma(5/3))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.