# Definite integral

## Homework Statement

π/2
d x/
(x2 - 2x cosx + 1)
0

п
sin x. ex^2dx
-п

## The Attempt at a Solution

what to use to solve them - especially the second one- i've tried substitution but got me nowhere

For the second one, try integration by parts. Not sure myself if it will work, but by looking at it I see two functions multiplied together. Anything like that you should think substitution or interation by parts.

thanks :)

SammyS
Staff Emeritus
Homework Helper
Gold Member
For the second one:

Isn't the integrand an even function?

SammyS
Staff Emeritus
$$\int x\cos(x) dx$$