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Popular >

integral of 2-x^2

Solution

\int 2 - x^{2} d x

Solution

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

Solution steps

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

\int 2 d x = 2 x

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

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

Add a constant to the solution

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

Graph

Popular Examples

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\int \frac{9 ln ^{2} ( x ) + 8 ln ( x )}{x} d x

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\int 2 x + sin (x) d x

taylor x^{-2},5 taylor

x^{- 2}, 5

Frequently Asked Questions (FAQ)

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