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Popular >

integral of-x^2

Solution

integral

- x^{2}

Solution

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

Solution steps

\int - x^{2} d x

Take the constant out:

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

= - \int x^{2} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of xe^{0.1x}

\int x e^{0.1 x} d x

integral of (10ln(x^2))/x

\int \frac{10 ln ( x ^{2} )}{x} d x

integral of (x-5)^3

\int (x - 5)^{3} d x

integral of (cos(x))/(1+3sin(x))

\int \frac{cos ( x )}{1 + 3 sin ( x )} d x

integral of x^2sqrt(x^3-12)

\int x^{2} x^{3} - 12 d x

Frequently Asked Questions (FAQ)

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