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Popular >

integral of 12y^3

Solution

\int 12 y^{3} d y

Solution

3 y^{4} + C

Solution steps

\int 12 y^{3} d y

Take the constant out:

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

= 12 \cdot \int y^{3} d y

Apply the Power Rule

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

= 12 \cdot \frac{y ^{4}}{4}

Simplify

12 \cdot \frac{y ^{4}}{4} : 3 y^{4}

= 3 y^{4}

Add a constant to the solution

= 3 y^{4} + C

Graph

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\int e^{x π} d x

Frequently Asked Questions (FAQ)

What is the integral of 12y^3 ?
The integral of 12y^3 is 3y^4+C