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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

Popular Examples

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y = x + x, (49, 56)

integral from 1 to 25 of 2/x

\int_{1}^{25} \frac{2}{x} d x

limit as x approaches+0 of (x^2)/(1-cos(x))

x \to + 0 lim (\frac{x ^{2}}{1 - cos ( x )})

(dy)/(dx)=(5x)/(7y)

\frac{d y}{d x} = \frac{5 x}{7 y}

integral of 1/2 xcos(4x^2)

\int \frac{1}{2} x cos (4 x^{2}) d x

Frequently Asked Questions (FAQ)

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