(i) Evaluate integral [ x^3 / (x^2 + 4)^2 ] using trigonometric substitution.

Question

(ii) Evaluate integral [ x^3 / (x^2 + 4)^2 ] using regular substitution.

(iii) Use a right triangle to check that indeed both answers you obtained in
parts (i) and (ii) are the same.

I would really appreciate some help with this question. I've been stuck on it for 2 hours.

Answer 1

https://www.freemathhelp.com/forum/threads/49663-trig-substitution-int-x-3-sqrt-x-2-4-dx