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Popular Calculus >

integral of-8x^3

Solution

\int - 8 x^{3} d x

Solution

- 2 x^{4} + C

Solution steps

\int - 8 x^{3} d x

Take the constant out:

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

= - 8 \cdot \int x^{3} d x

Apply the Power Rule

= - 8 \cdot \frac{x ^{4}}{4}

Simplify

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

= - 2 x^{4}

Add a constant to the solution

= - 2 x^{4} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-8x^3 ?
The integral of-8x^3 is -2x^4+C