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Popular >

integral of 81-x^2

Solution

\int 81 - x^{2} d x

Solution

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

Solution steps

\int 81 - 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 81 d x - \int x^{2} d x

\int 81 d x = 81 x

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

= 81 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 81 x - \frac{x ^{3}}{3} + C

Graph

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\int \frac{( x + 3 ) ^{2}}{x} d x

integral of-1280(1+4x)^{-3}

\int - 1280 (1 + 4 x)^{- 3} d x

Frequently Asked Questions (FAQ)

What is the integral of 81-x^2 ?
The integral of 81-x^2 is 81x-(x^3)/3+C