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Popular >

integral of-9x^2

Solution

\int - 9 x^{2} d x

Solution

- 3 x^{3} + C

Solution steps

\int - 9 x^{2} d x

Take the constant out:

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

= - 9 \cdot \int x^{2} d x

Apply the Power Rule

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

= - 9 \cdot \frac{x ^{3}}{3}

Simplify

- 9 \cdot \frac{x ^{3}}{3} : - 3 x^{3}

= - 3 x^{3}

Add a constant to the solution

= - 3 x^{3} + C

Popular Examples

integral of x-1/3

\int x - \frac{1}{3} d x

integral of csc^2((x-1)/3)

\int csc^{2} (\frac{x - 1}{3}) d x

integral of e^{4x}cos(-1x)

\int e^{4 x} cos (- 1 x) d x

integral of-x*sin(x)

\int - x \cdot sin (x) d x

integral of (1/((x^2+1)))

\int (\frac{1}{( x ^{2} + 1 )}) d x

Frequently Asked Questions (FAQ)

What is the integral of-9x^2 ?
The integral of-9x^2 is -3x^3+C