# How do you calculate this area?

• Dec 11th 2011, 12:07 AM
nappysnake
How do you calculate this area?
How can you calculate the area of this set?
(x,y) ∈ R²
0 <= x <= pi number
0 <= y <= 1/2
0 <= y <= sinx

Do you formulate an equation and calculate the integral? How do you do it?
• Dec 11th 2011, 06:24 AM
CaptainBlack
Re: How do you calculate this area?
Quote:

Originally Posted by nappysnake
How can you calculate the area of this set?
(x,y) ∈ R²
0 <= x <= pi number
0 <= y <= 1/2
0 <= y <= sinx

Do you formulate an equation and calculate the integral? How do you do it?

You draw a picture, and then when you have identified the required area you decompose it into elements that you either know the area of or can find the area by using an elementary integral

CB
• Dec 13th 2011, 10:18 AM
nappysnake
Re: How do you calculate this area?
Is my solution correct?
• Dec 13th 2011, 03:18 PM
Prove It
Re: How do you calculate this area?
Since when is \displaystyle \begin{align*} \frac{11\pi}{6} < \pi \end{align*}?
• Dec 13th 2011, 10:46 PM
nappysnake
Re: How do you calculate this area?
I meant 5pi/6..I should be more careful -.-
• Dec 13th 2011, 10:47 PM
Prove It
Re: How do you calculate this area?
Quote:

Originally Posted by nappysnake
I meant 5pi/6..I should be more careful -.-

With the correction, you should get the right answer.