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Popular >

integral of (-4x^3)

Solution

\int (- 4 x^{3}) d x

Solution

- x^{4} + C

Solution steps

\int - 4 x^{3} d x

Take the constant out:

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

= - 4 \cdot \int x^{3} d x

Apply the Power Rule

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

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

Simplify

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

= - x^{4}

Add a constant to the solution

= - x^{4} + C

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Frequently Asked Questions (FAQ)

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