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Repeated integration

  • #1
Evaluate the following repeated integral:
[Pi/2]\int[/0][Pi/2]\int[/y]cos y sin x dx dy

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
108
0
Have you ever encountered integration by iteration?

Also, you need to show your attempt at a solution.
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,793
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This is
[tex]\int_{y=0}^{\pi/2}\int_{x= y}^{\pi/2}cos(y) sin(x)dy dx[/tex]
[tex]= \int_{y= 0}^{\pi/2}cos(y)\left(\int_{x= y}^{2\pi} sin(x)dx\right)dy[/tex]

Now, what is
[tex]\int_{x= y}^{\pi/2} sin(x)dx[/tex]?
 

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