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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

integral of t^3e^{-5t}

\int t^{3} e^{- 5 t} d t

integral of 1/(t^3)+\sqrt[3]{t}

limit as x approaches 1 of e^{4x^3-4x}

x \to 1 lim (e^{4 x^{3} - 4 x})

derivative of ((x+x^9^{-6}+3x)^3)

\frac{d}{d x} (((x + x^{9})^{- 6} + 3 x)^{3})

d/(d{z)}({x}{z})

\frac{d}{d z} (x z)

Frequently Asked Questions (FAQ)

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