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Popular >

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

: \frac{x ^{4}}{4}

= 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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\int 1 + 2 t d t

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\int e^{- 2 t^{2}} d t

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\int \frac{x ^{3}}{x ^{4} - 6 x ^{2} + 1} d x

integral of 24x^3+1/x

\int 24 x^{3} + \frac{1}{x} d x

Frequently Asked Questions (FAQ)

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