- #1
limelightdevo
- 5
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Homework Statement
Integral, from 0 to 1, y/(e^2y)
Homework Equations
Use integration by parts
The Attempt at a Solution
I need integration by parts. The answer is 1/4-3/5e^-2. But I got 1/2 and it all makes sense to me, so tell me what I got wrong.
I put u=e^2y
du=2e^2y
dv= 1/e^2y dy (did u substitution on 2y here)
v=1/2 * ln(e^2y) (here I canceled ln and e, so left with 2y)
v=1/2 * 2y = y
Plugged them into integration by parts formula
and got y^2-(y^2)/2. Plugged in 1 and 0.
And I got 1-1/2 = 1/2. How is this wrong?? I don't understand.
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