Double integral question

1. Nov 15, 2007

engineer_dave

Double integral question....

1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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 dont really understand what the R is. What do u have to do to find the values next to to the integrand. Thanks!

Attached Files:

• Double integral continued.JPG
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2. Nov 15, 2007

zhentil

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

3. Nov 15, 2007

engineer_dave

yea but this doesnt have an x in front of it

4. Nov 15, 2007

engineer_dave

any helpers lol??

5. Nov 15, 2007

zhentil

Then I have no idea.

6. Nov 15, 2007

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.