Solve Definite Integral: π/2 to 0

[s883]

Homework Statement

π/2
d x/
∫ (x² - 2x cosx  + 1)
0


п
∫ sin x. e^{x^2}dx
-п

Homework Equations

The Attempt at a Solution

 

[armolinasf]

What exactly are you asking?

 

[s883]

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

 

[Whitishcube]

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.

 

[s883]

thanks :)

 

[SammyS]

For the second one:

Isn't the integrand an even function?

 

[SammyS]

For the first one, use integration by parts for:

$$\int x\cos(x) dx$$