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Popular >

integral of-3x^2+3

Solution

\int - 3 x^{2} + 3 d x

Solution

- x^{3} + 3 x + C

Solution steps

\int - 3 x^{2} + 3 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 3 x^{2} d x + \int 3 d x

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

\int 3 d x = 3 x

= - x^{3} + 3 x

Add a constant to the solution

= - x^{3} + 3 x + C

Popular Examples

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

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\int tan^{n} (d) x d x

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\int \frac{1}{csc ^{2} ( 6 x ) - csc ( 6 x )} d x

integral of (x^3-3x^2+4)e^{2-3x}

\int (x^{3} - 3 x^{2} + 4) e^{2 - 3 x} d x

integral of 1/9 e^{-3x}

\int \frac{1}{9} e^{- 3 x} d x

Frequently Asked Questions (FAQ)

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