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Popular >

integral of 16-x^2

Solution

\int 16 - x^{2} d x

Solution

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

Solution steps

\int 16 - 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 16 d x - \int x^{2} d x

\int 16 d x = 16 x

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

= 16 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 16 x - \frac{x ^{3}}{3} + C

Graph

Popular Examples

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\int [v + \frac{1}{( 3 v - 1 ) ^{3}}] d v

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\int 2 \cdot x \cdot y

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integral of (x^3)/(\sqrt[7]{x^2+1)}

\int \frac{x ^{3}}{7 x ^{2} + 1} d x

integral of (x^2+2)/(x^2)

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

Frequently Asked Questions (FAQ)

What is the integral of 16-x^2 ?
The integral of 16-x^2 is 16x-(x^3)/3+C