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Popular >

integral of 8x^4y

Solution

\int 8 x^{4} y d y

Solution

4 x^{4} y^{2} + C

Solution steps

\int 8 x^{4} y d y

Take the constant out:

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

= 8 x^{4} \cdot \int y d y

Apply the Power Rule

: \frac{y ^{2}}{2}

= 8 x^{4} \frac{y ^{2}}{2}

Simplify

8 x^{4} \frac{y ^{2}}{2} : 4 x^{4} y^{2}

= 4 x^{4} y^{2}

Add a constant to the solution

= 4 x^{4} y^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 8x^4y ?
The integral of 8x^4y is 4x^4y^2+C