Question

solve this integrals...

Answer 1

and this...\[\int\limits_{}^{}\frac{ y }{ e^y }dy\]

Answer 2

\[\int\limits_{}^{}e^{x ^{2}}x^{2} dx\]

Answer 3

use integral by part for the first one. let u = y and dv = e^(-y) dy

Answer 4

for the second one, I think you have to sub 2 times. first time, let u = x^2 and then, x = sqrt(u) and du = 2x dx
at that time, you have
simplify them and sub again by part as I did on the first problem