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Popular >

integral of-3x^2+2x

Solution

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

Solution

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

Solution steps

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

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

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

= - x^{3} + x^{2}

Add a constant to the solution

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

Graph

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\int \frac{x ^{2} + 1}{x ^{6}} d x

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\int \frac{2}{3 - 4 x} d x

Frequently Asked Questions (FAQ)

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