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Popular >

integral of (2y^2)

Solution

\int (2 y^{2}) d y

Solution

\frac{2 y ^{3}}{3} + C

Solution steps

\int 2 y^{2} d y

Take the constant out:

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

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

Apply the Power Rule

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

= 2 \cdot \frac{y ^{3}}{3}

Multiply fractions:

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

= \frac{2 y ^{3}}{3}

Add a constant to the solution

= \frac{2 y ^{3}}{3} + C

Popular Examples

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\int \frac{r}{a ^{2} - r ^{2}} d r

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\int_{- 1}^{2} x (1 + x^{3}) d x

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\frac{d}{d x} (\frac{1}{10} (x - 60)^{2} + 100)

tangent of-7x^2 tangent of

- 7 x^{2}

taylor sin^2(x)taylor

sin^{2} (x)

Frequently Asked Questions (FAQ)

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