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Popular Calculus >

integral of 8x^3

Solution

\int 8 x^{3} d x

Solution

2 x^{4} + C

Solution steps

\int 8 x^{3} d x

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

= 2 x^{4}

Add a constant to the solution

= 2 x^{4} + C

Graph

Popular Examples

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\frac{d}{d x} (\frac{1}{( x ^{4} + 5 ) ^{5}})

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\int x^{2} cos (6 x) d x

integral of sqrt(5-4x)

\int 5 - 4 x d x

integral from 0 to 1 of 1/(sqrt(1+x^2))

\int_{0}^{1} \frac{1}{1 + x ^{2}} d x

integral of e^{1-3x}

\int e^{1 - 3 x} d x

Frequently Asked Questions (FAQ)

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