Question

Evaluate the integral (x(x^2-1)^1/2) from 0 to 1

Answer 1

\[\int\limits_{0}^{1} x(\sqrt{x^2+1}dx\]
sorry minor mistake above

Answer 2

please no trig sub because i haven't learned it yet

Answer 3

Don't worry, you can just use substitution here like normal. Do you see anything in there that could possibly be its derivative in there? Don't forget the derivative of a constant is 0.

Answer 4

ohh i see it now. u = x^2+1
du = 2x then plug all that stuff in.

Answer 5

Yup. =D