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Popular Calculus >

integral of-8/pi x

Solution

\int - \frac{8}{π} x d x

Solution

- \frac{4 x ^{2}}{π} + C

Solution steps

\int - \frac{8}{π} x d x

Take the constant out:

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

= - \frac{8}{π} \cdot \int x d x

Apply the Power Rule

= - \frac{8}{π} \cdot \frac{x ^{2}}{2}

Simplify

- \frac{8}{π} \cdot \frac{x ^{2}}{2} : - \frac{4 x ^{2}}{π}

= - \frac{4 x ^{2}}{π}

Add a constant to the solution

= - \frac{4 x ^{2}}{π} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-8/pi x ?
The integral of-8/pi x is -(4x^2)/pi+C