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Popular >

integral of-x^2-x

Solution

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

Solution

- \frac{x ^{3}}{3} - \frac{x ^{2}}{2} + C

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int x^{2} d x = \frac{x ^{3}}{3}

\int x d x = \frac{x ^{2}}{2}

= - \frac{x ^{3}}{3} - \frac{x ^{2}}{2}

Add a constant to the solution

= - \frac{x ^{3}}{3} - \frac{x ^{2}}{2} + C

Popular Examples

integral of (ln(y^3))/(8y)

\int \frac{ln ( y ^{3} )}{8 y} d y

tangent of f(x)=x^2+3x-1,\at x=-1 tangent of

f (x) = x^{2} + 3 x - 1, at x = - 1

integral of 1/(xsqrt(9x^2-49))

\int \frac{1}{x 9 x ^{2} - 49} d x

derivative of 1/((1+x^3))

\frac{d}{d x} (\frac{1}{( 1 + x ) ^{3}})

4y^{''}+16y^'+19y=0

4 y^{^{''}} + 16 y^{^{'}} + 19 y = 0

Frequently Asked Questions (FAQ)

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