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Popular >

integral of-5x^3

Solution

\int - 5 x^{3} d x

Solution

- \frac{5 x ^{4}}{4} + C

Solution steps

\int - 5 x^{3} d x

Take the constant out:

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

= - 5 \cdot \int x^{3} d x

Apply the Power Rule

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

= - 5 \cdot \frac{x ^{4}}{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{5 x ^{4}}{4}

Add a constant to the solution

= - \frac{5 x ^{4}}{4} + C

Graph

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tangent of 5x^3 tangent of

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x \to - 1 lim (ln (x^{2} - 1))

taylor (2^k)/(3k)x^k taylor

\frac{2 ^{k}}{3 k} x^{k}

derivative of 2sec(cos(x))

\frac{d}{d x} (2 sec (cos (x)))

Frequently Asked Questions (FAQ)

What is the integral of-5x^3 ?
The integral of-5x^3 is -(5x^4)/4+C