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Popular >

integral of-4y^3

Solution

\int - 4 y^{3} d y

Solution

- y^{4} + C

Solution steps

\int - 4 y^{3} d y

Take the constant out:

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

= - 4 \cdot \int y^{3} d y

Apply the Power Rule

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

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

Simplify

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

= - y^{4}

Add a constant to the solution

= - y^{4} + C

Popular Examples

integral of 1/(sqrt(x^2-4x+3))

\int \frac{1}{x ^{2} - 4 x + 3} d x

d/(dy)((x^3y-xy^3)/(x^2+y^2))

\frac{d}{d y} (\frac{x ^{3} y - x y ^{3}}{x ^{2} + y ^{2}})

integral of e^{x^{-1/2}}

\int e^{x^{- \frac{1}{2}}} d x

integral of 1/(2x^2-4x+14)

\int \frac{1}{2 x ^{2} - 4 x + 14} d x

integral of x5^x

\int x 5^{x} d x

Frequently Asked Questions (FAQ)

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