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Popular >

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

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

= 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

Popular Examples

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\int 4 x cos (2 x) d x

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x \to 2 lim (2 x + 4)

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Frequently Asked Questions (FAQ)

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