Evaluate:

Question

integral x^3/[sqrt*(x^2+100)]dx
can someone tell me what they get as a final answer..I've been going at this for hours and don't get the answer in the back of the textbook

Answer 1

Answer

1/3 (sqrt(x^2 + 100))^3 - 100(sqrt(x^2+100)) + C

this can be transformed into
1/3 (x^2 - 200)(sqrt(x^2 + 100) + C

my book had 1st answer (not transformed)

let me know if you need more help with this

Answer 2

forgot to add, there are other forms for this answer

post your answer if you are not sure if equil. to above posted answers

Answer 3

Excellent !
I got the answer your book had!
Thankyou so much !!