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Popular >

integral of-15x^2

Solution

\int - 15 x^{2} d x

Solution

- 5 x^{3} + C

Solution steps

\int - 15 x^{2} d x

Take the constant out:

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

= - 15 \cdot \int x^{2} d x

Apply the Power Rule

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

= - 15 \cdot \frac{x ^{3}}{3}

Simplify

- 15 \cdot \frac{x ^{3}}{3} : - 5 x^{3}

= - 5 x^{3}

Add a constant to the solution

= - 5 x^{3} + C

Popular Examples

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\int t e^{6 t^{2}} d t

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integral of 2xsqrt(4x^2-4)

\int 2 x 4 x^{2} - 4 d x

integral of sec(6x+3)tan(6x+3)

\int sec (6 x + 3) tan (6 x + 3) d x

Frequently Asked Questions (FAQ)

What is the integral of-15x^2 ?
The integral of-15x^2 is -5x^3+C