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Popular Calculus >

integral of 8x^3y

Solution

\int 8 x^{3} y d x

Solution

2 y x^{4} + C

Solution steps

\int 8 x^{3} y d x

Take the constant out:

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

= 8 y \cdot \int x^{3} d x

Apply the Power Rule

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

Simplify

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

= 2 y x^{4}

Add a constant to the solution

= 2 y x^{4} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 8x^3y ?
The integral of 8x^3y is 2yx^4+C