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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

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\int (\frac{3}{x} - \frac{x}{3}) d x

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integral of (e^{1/t})/(t^2)

\int \frac{e ^{\frac{1}{t}}}{t ^{2}} d t

Frequently Asked Questions (FAQ)

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