Thread: Evaluating an integral by change of variables

Q) Evaluate the integral





A) My approach:
u=x²+y²
v=xy

Found the Jacobian to be

Rewrote the whole thing to find the answer 1.


Is the approach correct?
Is my answer correct?

Originally Posted by keysar7

Q) Evaluate the integral





A) My approach:
u=x²+y²
v=xy

Found the Jacobian to be

Rewrote the whole thing to find the answer 1.


Is the approach correct?
Is my answer correct?

Everything looks OK.

Originally Posted by mr fantastic

Everything looks OK.

Thank a lot.