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Popular >

integral of-10x^2

Solution

\int - 10 x^{2} d x

Solution

- \frac{10 x ^{3}}{3} + C

Solution steps

\int - 10 x^{2} d x

Take the constant out:

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

= - 10 \cdot \int x^{2} d x

Apply the Power Rule

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

= - 10 \cdot \frac{x ^{3}}{3}

Multiply fractions:

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

= - \frac{10 x ^{3}}{3}

Add a constant to the solution

= - \frac{10 x ^{3}}{3} + C

Popular Examples

integral of (x^3+x+1)/(x^2+1)

\int \frac{x ^{3} + x + 1}{x ^{2} + 1} d x

integral of 7x^{-2/3}-2x^{5/3}

\int 7 x^{- \frac{2}{3}} - 2 x^{\frac{5}{3}} d x

integral of (e^y)/((e^y-2)ln(e^y-2))

\int \frac{e ^{y}}{( e ^{y} - 2 ) ln ( e ^{y} - 2 )} d y

integral of z^2e^z

\int z^{2} e^{z} d z

integral of 1/(sin(x))integral

\frac{1}{sin ( x )}

Frequently Asked Questions (FAQ)

What is the integral of-10x^2 ?
The integral of-10x^2 is -(10x^3)/3+C