Question

solve the indefinite integral

∫ (cos√x ) /(√x) ԁx

Answer 1

\[\int\frac{\cos\sqrt x}{\sqrt x}~dx\]
Let \(u=\sqrt x\), then \(du=\dfrac{1}{2\sqrt x}~dx\), which means \(2u~du=dx\), so
\[\int\frac{\cos u}{u}(2u~du)=2\int \cos u~du\]

Answer 2

thank you!

Answer 3

You're welcome