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Popular >

integral of (-2x^2)

Solution

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

Solution

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

Solution steps

\int - 2 x^{2} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

integral of (62x^9)/(2835)

\int \frac{62 x ^{9}}{2835} d x

limit as x approaches 1+of 1/(x^2-4x+3)

x \to 1 + lim (\frac{1}{x ^{2} - 4 x + 3})

(\partial)/(\partial x)(tan(x^3+y))

\frac{\partial}{\partial x} (tan (x^{3} + y))

integral of 5arcsin(x)

\int 5 arcsin (x) d x

y^{'''}+3y^{''}+2y^'=0

y^{^{'''}} + 3 y^{^{''}} + 2 y^{^{'}} = 0

Frequently Asked Questions (FAQ)

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