Question

evaluate the integral by making the given substitution. int[(5*sin*sqrt(x))/sqrt(x)] , u=sqrt(x)

Answer 1

forgot the dx!

int[(5*sin*sqrt(x))/sqrt(x)] *dx
, u=sqrt(x)

Answer 2

\[5\int \frac{\sin(\sqrt{x})}{\sqrt{x}}dx\]

Answer 3

\[u=\sqrt{x}\]
\[du=\frac{1}{2\sqrt{x}}dx\]
\[2du=\frac{dx}{\sqrt{x}}\]
\[10\int \sin(u)du\]

Answer 4

\[-10\cos(u)\]
\[-10\cos(\sqrt{x})+C\]

Answer 5

check is to take the derivative and see that you get the integrand

Answer 6

thank you!!

Answer 7

yw