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Popular >

integral of 1/(4y^3)

Solution

\int \frac{1}{4 y ^{3}} d y

Solution

- \frac{1}{8 y ^{2}} + C

Solution steps

\int \frac{1}{4 y ^{3}} d y

Take the constant out:

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

= \frac{1}{4} \cdot \int \frac{1}{y ^{3}} d y

Apply the Power Rule

: - \frac{1}{2 y ^{2}}

= \frac{1}{4} (- \frac{1}{2 y ^{2}})

Simplify

\frac{1}{4} (- \frac{1}{2 y ^{2}}) : - \frac{1}{8 y ^{2}}

= - \frac{1}{8 y ^{2}}

Add a constant to the solution

= - \frac{1}{8 y ^{2}} + C

Graph

Popular Examples

integral of 2x+6cos(x)

\int 2 x + 6 cos (x) d x

integral of (x^2)/(\sqrt[3]{x+2)}

\int \frac{x ^{2}}{3 x + 2} d x

integral of-2/(sqrt(81-49t^2))

\int - \frac{2}{81 - 49 t ^{2}} d t

derivative of (x^6/(x^2))

\frac{d}{d x} (\frac{x ^{6}}{x ^{2}})

integral of (sqrt(x^2-9))/x

\int \frac{x ^{2} - 9}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(4y^3) ?
The integral of 1/(4y^3) is -1/(8y^2)+C