What is the integral of (sec^2(3)sqrt(x))/(sqrt(x)) ?

The integral of (sec^2(3)sqrt(x))/(sqrt(x)) is sec^2(3)x+C

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integral of (sec^2(3)sqrt(x))/(sqrt(x))

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

sec^{2} (3) x + C

Solution steps

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

Cancel the common factor:

x

= \int sec^{2} (3) d x

Integral of a constant:

\int a d x = a x

= sec^{2} (3) x

Add a constant to the solution

= sec^{2} (3) x + C

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What is the integral of (sec^2(3)sqrt(x))/(sqrt(x)) ?
The integral of (sec^2(3)sqrt(x))/(sqrt(x)) is sec^2(3)x+C