- #1
M1ZeN
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Homework Statement
My homework problem is the double integral of y/1+xy dxdy. It is a definite double integral and both integrands have the values of a = 0 and b = 1.
Homework Equations
Integration by parts: uv - int(vdu)
The Attempt at a Solution
My first step of the double integral is I set:
u = 1+xy (with respect to x)
du = y
Then that gave me the integral of int(du/u) which equaled to ln(1+xy) ] b=1, a=0
I plug in the integrand values which gives me:
int[ln(1+y)]dy
Now this is where I'm having trouble. I do recognize this becomes integration by parts. So this is what I did:
u = ln(1+y) v = y
du = 1/(1+y) dv = dy
= y*ln(1+y) - int[y/(1+y)]dy
Then I set:
u = y v = ln(1+y)
du = dy dv = 1/(1+y)
= y*ln(1+y) - {y*ln(1+y) - int[ln(1+y)dy]}
***This is where I'm stumped
Appreciate any feedback! :)