What is the integral of (g(sqrt(x)))/(sqrt(x)) ?

The integral of (g(sqrt(x)))/(sqrt(x)) is gx+C

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integral of (g(sqrt(x)))/(sqrt(x))

\int \frac{g ( x )}{x} d x

gx + C

Solution steps

\int \frac{g x}{x} d x

Cancel the common factor:

x

= \int g d x

Integral of a constant:

\int a d x = a x

= gx

Add a constant to the solution

= gx + C

\int \frac{sec ( x )}{2 sec ^{2} ( x ) - 1} d x

\int (x^{2} - 1)^{- \frac{3}{2}} d x

\int \frac{1}{2} + x^{4} + \frac{1}{16 x ^{4}} d x

\int \frac{1}{( a ^{2} + r ^{2} ) ^{3}} d r

\int \frac{1}{z z ^{2} - 1} d z

What is the integral of (g(sqrt(x)))/(sqrt(x)) ?
The integral of (g(sqrt(x)))/(sqrt(x)) is gx+C