Integrate int(0topi)int(0tosinx)ydydx

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SUMMARY

The discussion centers on the integration of the function defined by the double integral ∫₀^π ∫₀^sin(x) y dy dx. The first step involves calculating the inner integral ∫ y dy, which results in (1/2)y². Substituting y = sin(x) into this expression leads to (1/2)(sin(x))². The final step requires integrating this result with respect to x, potentially utilizing trigonometric identities for simplification.

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Integrate
int(0topi)int(0tosinx)ydydx
 
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chevy900ss said:
Integrate
int(0topi)int(0tosinx)ydydx
What is \int y dy? What do you get when you put y= sin(x) into that? Now, what is the integral of that with respect to x? (You may need a trig identity.)
 

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