Double integral question: Evaluating Integrals with Sinusoidal Functions

[engineer_dave]

Double integral question...

Homework Statement

Evaluate the integrals shown ( I have attached the file with the integral).

Homework Equations

The Attempt at a Solution

Ok, for the first one, can you tell me how I integrate sin x^2...?? which method should i use? And for the second one, I don't really understand what the R is. What do u have to do to find the values next to to the integrand. Thanks!

 

[zhentil]

Can you integrate x*sin(x^2)?

 

[engineer_dave]

yea but this doesn't have an x in front of it

 

[engineer_dave]

any helpers lol??

 

[zhentil]

Then I have no idea.

 

[Dick]

x is in the limits of the dy integration. Integrating sin(x^2) dy gives y*sin(x^2). Now put in the y limits THEN integrate dx. See, it does have an x in front of it.