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Popular >

integral of (36-x^2)

Solution

\int (36 - x^{2}) d x

Solution

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

Solution steps

\int 36 - 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 36 d x - \int x^{2} d x

\int 36 d x = 36 x

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

= 36 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 36 x - \frac{x ^{3}}{3} + C

Popular Examples

integral of 3x^4-5/(x^2)+6

\int 3 x^{4} - \frac{5}{x ^{2}} + 6 d x

integral of e-2x

\int e - 2 x d x

integral of e^{7x}x

\int e^{7 x} x d x

integral of e^{-(s-3)t}

\int e^{- (s - 3) t} d t

integral of (2x)/(x^3-x)

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

Frequently Asked Questions (FAQ)

What is the integral of (36-x^2) ?
The integral of (36-x^2) is 36x-(x^3)/3+C