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Popular >

integral of-3x^2

Solution

\int - 3 x^{2} d x

Solution

- x^{3} + C

Solution steps

\int - 3 x^{2} d x

Take the constant out:

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

= - 3 \cdot \int x^{2} d x

Apply the Power Rule

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

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

Simplify

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

= - x^{3}

Add a constant to the solution

= - x^{3} + C

Popular Examples

(\partial}{\partial z}(\frac{x^2)/y-xz)

\frac{\partial}{\partial z} (\frac{x ^{2}}{y} - x z)

integral of x/(4+x^4)

\int \frac{x}{4 + x ^{4}} d x

(\partial)/(\partial y)(7/(x^2+y^2))

\frac{\partial}{\partial y} (\frac{7}{x ^{2} + y ^{2}})

tangent of ((x^2+32sqrt(x)))/8 ,\at x=4 tangent of

\frac{( x ^{2} + 32 x )}{8}, at x = 4

derivative of (t+2)^{2/3}(2t^2-3)^3 derivative of

(t + 2)^{\frac{2}{3}} (2 t^{2} - 3)^{3}

Frequently Asked Questions (FAQ)

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