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Popular >

integral of 3y^3

Solution

\int 3 y^{3} d y

Solution

\frac{3 y ^{4}}{4} + C

Solution steps

\int 3 y^{3} d y

Take the constant out:

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

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

Apply the Power Rule

: \frac{y ^{4}}{4}

= 3 \cdot \frac{y ^{4}}{4}

Multiply fractions:

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

= \frac{3 y ^{4}}{4}

Add a constant to the solution

= \frac{3 y ^{4}}{4} + C

Popular Examples

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x \to 4 lim (\frac{7 x + 6}{3 x - 2})

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\frac{d}{d x} ((x^{\frac{3}{2}})^{2})

integral of (x^2-5x+16)/((2x+1)(x-2)^2)

\int \frac{x ^{2} - 5 x + 16}{( 2 x + 1 ) ( x - 2 ) ^{2}} d x

(\partial)/(\partial y)(e^xy)

\frac{\partial}{\partial y} (e^{x} y)

Frequently Asked Questions (FAQ)

What is the integral of 3y^3 ?
The integral of 3y^3 is (3y^4)/4+C