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Popular >

integral of-5x^2

Solution

integral

- 5 x^{2}

Solution

- \frac{5 x ^{3}}{3} + C

Solution steps

\int - 5 x^{2} d x

Take the constant out:

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

= - 5 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= - 5 \cdot \frac{x ^{3}}{3}

Multiply fractions:

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

= - \frac{5 x ^{3}}{3}

Add a constant to the solution

= - \frac{5 x ^{3}}{3} + C

Popular Examples

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\frac{1}{( x ^{2} + 0.75 )}

f(x)=(1+cos(6x))^{1/2}

f (x) = (1 + cos (6 x))^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

What is the integral of-5x^2 ?
The integral of-5x^2 is -(5x^3)/3+C