What is the integral of 3picos(pi)x ?

The integral of 3picos(pi)x is -(3pix^2)/2+C

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integral of 3picos(pi)x

\int 3 π cos (π) x d x

- \frac{3 π x ^{2}}{2} + C

Solution steps

\int 3 π cos (π) x d x

Take the constant out:

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

= 3 π cos (π) \cdot \int x d x

3 π cos (π) = - 3 π

= (- 3 π) \cdot \int x d x

Apply the Power Rule

= (- 3 π) \frac{x ^{2}}{2}

Simplify

(- 3 π) \frac{x ^{2}}{2} : - \frac{3 π x ^{2}}{2}

= - \frac{3 π x ^{2}}{2}

Add a constant to the solution

= - \frac{3 π x ^{2}}{2} + C

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What is the integral of 3picos(pi)x ?
The integral of 3picos(pi)x is -(3pix^2)/2+C