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Popular >

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

: \frac{y ^{4}}{4}

= - 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

Popular Examples

(\partial)/(\partial x)(x^2+2y^2+9xz)

\frac{\partial}{\partial x} (x^{2} + 2 y^{2} + 9 x z)

limit as t approaches 0-of t^2+1

t \to 0 - lim (t^{2} + 1)

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

\int e^{2 x} cos (e^{x}) d x

(\partial)/(\partial x)(cos^3(x^4y^3))

\frac{\partial}{\partial x} (cos^{3} (x^{4} y^{3}))

y^{^{''}} + 9 y = 27

Frequently Asked Questions (FAQ)

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