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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

Popular Examples

integral of e^{2x}cos(e^x)

derivative of 8/(cos(x^2-2x))

integral from 5 to 7 of x/(x^2+6x+13)

Frequently Asked Questions (FAQ)

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