Задача 52377 ...

vk477579336

2020-06-12 08:34:39

1. ∫(x dx)/(5 - 3x^2)^7

sova

2020-06-12 10:56:01

★

u=5-3x^2
du=d(5-3x^2)=(5-3x^2)`dx=-6xdx

xdx=(-1/6)d(5-3x^2)

∫ (-1/6)*(5-3x^2)^(-7)d(5-3x^2)=(-1/6)*(5-3x^2)^(-7+1)/(-7+1)=

=(1/36)*(1/(5-3x^2)^6)+C