Integration help please: int [x * sqrt{(a^2-x^2)/(a^2+x^2)}] dx

[Zifina]

\(\displaystyle \displaystyle \mbox{Evaluate }\, \int\, \left(\, x\, \sqrt{\dfrac{a^2\, -\, x^2}{a^2\, +\, x^2}\,}\, \right)\, dx\)

 

[tkhunny]

You are going to have to show us what you've tried. Where did it lead? Why do you believe it was unsuccessful?

 

[Deleted member 4993]

Integrate x root (a^2-x^2) / root (a^2+x^2) dx

Whenever I see "square" and "square-root" in integrals - I attempt trigonometric substitutions.