What is the integral of cos(pi/4) ?

The integral of cos(pi/4) is x/(sqrt(2))+C

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integral of cos(pi/4)

\int cos (\frac{π}{4}) d x

\frac{x}{2} + C

Solution steps

\int cos (\frac{π}{4}) d x

Integral of a constant:

\int a d x = a x

= cos (\frac{π}{4}) x

Simplify

cos (\frac{π}{4}) x : \frac{x}{2}

= \frac{x}{2}

Add a constant to the solution

= \frac{x}{2} + C

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