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

The integral of (sec^2(x))/2 is 1/2 tan(x)+C

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

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

\frac{1}{2} tan (x) + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Use the common integral:

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

= \frac{1}{2} tan (x)

Add a constant to the solution

= \frac{1}{2} tan (x) + C

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What is the integral of (sec^2(x))/2 ?
The integral of (sec^2(x))/2 is 1/2 tan(x)+C