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Mathematics
OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

thank you!!

OpenStudy (anonymous):

yw

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