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Popular >

integral of ky^2

Solution

\int k y^{2} d y

Solution

\frac{k y ^{3}}{3} + C

Solution steps

\int k y^{2} d y

Take the constant out:

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

= k \cdot \int y^{2} d y

Apply the Power Rule

: \frac{y ^{3}}{3}

= k \frac{y ^{3}}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{k y ^{3}}{3}

Add a constant to the solution

= \frac{k y ^{3}}{3} + C

Popular Examples

integral of 1/(5+sqrt(x))

\int \frac{1}{5 + x} d x

integral of sin(x+9)

\int sin (x + 9) d x

integral of 1/(2sin^2(x))

\int \frac{1}{2 sin ^{2} ( x )} d x

integral of 0.03x

\int 0.03 x d x

integral of (sin(x))/(2-sin^2(x))

\int \frac{sin ( x )}{2 - sin ^{2} ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of ky^2 ?
The integral of ky^2 is (ky^3)/3+C