- #1
aglo6509
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Homework Statement
Evaluate: ∫1 to 4∫0 to y(2/(x^2+y^2))dxdy
Homework Equations
The Attempt at a Solution
So I know you have to spilt it up and do the dx integral first:
∫0-y(2/(x^2+y^2))dx
Now this is where I don't know if I'm doing it right, I moved the 2 outside the integral and split up the fraction, so:
2(∫1/x^2dx+∫1/y^2dx)
Now since I'm only dealing with dx I'll ignore the y for right now:
∫1/x^2= -1/x|0to y
= -1/y
So the new integral is:
∫-2/(y+y^2)dy
Again move the two outside and split up the intgeral:
-2(∫1/ydy-∫1/y^2dy)
-2(lny+1/y^2)from 1 to 4
then it's just imputing numbers.
So basically if you could tell me if I'm right about being able to split up the fraction like I do I'd very much appreciate it!