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Popular Calculus >

integral of (-8y^3)

Solution

\int (- 8 y^{3}) d y

Solution

- 2 y^{4} + C

Solution steps

\int - 8 y^{3} d y

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

= - 2 y^{4}

Add a constant to the solution

= - 2 y^{4} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (-8y^3) ?
The integral of (-8y^3) is -2y^4+C