Задача 37549 x/cos^2x^2 dx...

vk283755935

2019-05-24 20:35:36

x/cos^2x^2 dx

sova

2019-05-24 20:47:08

∫ dt/cos^2t=tgt

t=x^2
dt=2xdx
xdx=(1/2)dt

∫ xdx/(cos^2x^2)=(1/2) ∫ dt/(cos^2t)=(1/2)tgt+C=(1/2)tgx^2+C