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Popular >

integral of-x^2

Solution

\int - x^{2} d x

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

Popular Examples

integral from 0 to 2 of xsqrt(4x^2+9)

\int_{0}^{2} x 4 x^{2} + 9 d x

(e^{-(x^2)/2})^'

(e^{- \frac{x ^{2}}{2}})^{^{'}}

integral of 7/(sqrt(1-x^2))

\int \frac{7}{1 - x ^{2}} d x

(\partial)/(\partial x)(35x^6y^4-24x^5y^3)

\frac{\partial}{\partial x} (35 x^{6} y^{4} - 24 x^{5} y^{3})

(dy)/(dt)-3/t y=2t^3e^{2t}

\frac{d y}{d t} - \frac{3}{t} y = 2 t^{3} e^{2 t}

Frequently Asked Questions (FAQ)

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