Dy/Dx= x^4 e^(3x+5) maka y=......tolong jawab Dong please

Lanjutkan.. Maaf agak ragu dengan e

jawab

u = 3x+ 5 
du = 3 dx
dx = 1/3 du

u = 3x + 5
3x = u- 5
x= (u -5)/3
x⁴  =  1/81 (u-5)⁴

y = ∫ e³ˣ⁺⁵. x⁴ dx = 
y = ∫ e^u .1/81 (u-5)⁴. (1/3 du)

y =  1/243  ∫ e^u. (u-5)⁴ du

def ..........int
(u-5)⁴ ......e^u
4(u-5)³ ....e^u (+)
12(u-5)²...e^u (-)
24(u-5)....e^u (+)
24u.........e^u (-)
24...........e^u (+)
0.............e^u (-)
...
y = 1/81 (eˣ⁺⁵) [ 27 x⁴ - 36 x³ + 36x² + 24x + 8 ] + c