Question

how i solved this integral...

Answer 1

To solve the first one just expand it you get (sinx)^2 + (cosx)^2 + sin2x
=1+sin2x integrating this is easy it is x- (cos2x/2) now put limits.

Answer 2

The second one also just integrate each term seperately integral of x^n is (x^(n+1))/n+1

Answer 3

For the third put x^2-3 as t hence dt=2x dx so x dx=dt/2 the integral reduces to (e^t)/2 so integral of that would be e^t/2 only which is (e^(x^2+3))/2