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Popular >

integral of 3y^2

Solution

\int 3 y^{2} d y

Solution

y^{3} + C

Solution steps

\int 3 y^{2} d y

Take the constant out:

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

= 3 \cdot \int y^{2} d y

Apply the Power Rule

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

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

Simplify

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

= y^{3}

Add a constant to the solution

= y^{3} + C

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derivative of e^{x^3y}

\frac{d}{d x} (e^{x^{3} y})

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\frac{\partial}{\partial y} (\frac{x + y}{x - y})

integral from 1 to 3 of ((3x^2-7))/(x^3)

\int_{1}^{3} \frac{( 3 x ^{2} - 7 )}{x ^{3}} d x

Frequently Asked Questions (FAQ)

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