Question

Find the indefinite integral of cos(x^1/2) dx

ATTEMPT:
I let u = x^1/2
Then, du = 1/2(x^-1/2)dx <-- but that term is not in the integrand..

Answer 1

Nevermind, I remember.

Answer 2

in case someone is wondering:
\[ du= \frac{1}{2\sqrt{x} }dx \]
\[ dx= 2 u du \]
and the integral is
\[\int\limits u \cos(u) du\]
which tackled using integration by parts