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Popular >

integral of-u^2

Solution

\int - u^{2} d u

Solution

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

Solution steps

\int - u^{2} d u

Take the constant out:

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

= - \int u^{2} d u

Apply the Power Rule

: \frac{u ^{3}}{3}

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

Add a constant to the solution

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

Popular Examples

integral from 0 to 7 of 1/(u^2-49)

\int_{0}^{7} \frac{1}{u ^{2} - 49} d u

derivative of (2000/(x^2))

\frac{d}{d x} (\frac{2000}{x ^{2}})

(dx)/(dt)=x^2t^2

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

derivative of (x^3+1/x)

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

integral of e^{3cos(2x)}sin(2x)

\int e^{3 c o s (2 x)} sin (2 x) d x

Frequently Asked Questions (FAQ)

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