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asdf12312
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double integral help??
Evaluate the double integral
| | e^sin(x) dA
over the region
D = {(x,y) | 0 ≤ x ≤ π/2, 0 ≤ y ≤ cosx} .
how would i do this? i know that dA = dy(dx) so the integral would be
|(0 ≤ x ≤ π/2) |(0 ≤ y ≤ cosx) (e^sin(x) dy) dx
would i have to switch the integration? so it would be dx(dy) instead? or could i just integrate it with respect to dy and say it is y*e^sin(x)?
Homework Statement
Evaluate the double integral
| | e^sin(x) dA
over the region
D = {(x,y) | 0 ≤ x ≤ π/2, 0 ≤ y ≤ cosx} .
Homework Equations
The Attempt at a Solution
how would i do this? i know that dA = dy(dx) so the integral would be
|(0 ≤ x ≤ π/2) |(0 ≤ y ≤ cosx) (e^sin(x) dy) dx
would i have to switch the integration? so it would be dx(dy) instead? or could i just integrate it with respect to dy and say it is y*e^sin(x)?
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