What is the integral of (cos(pi)x) ?

The integral of (cos(pi)x) is -(x^2)/2+C

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integral of (cos(pi)x)

\int (cos (π) x) d x

- \frac{x ^{2}}{2} + C

Solution steps

\int cos (π) x d x

Take the constant out:

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

= cos (π) \cdot \int x d x

cos (π) = - 1

= (- 1) \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= (- 1) \frac{x ^{2}}{2}

Simplify

= - \frac{x ^{2}}{2}

Add a constant to the solution

= - \frac{x ^{2}}{2} + C

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