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Popular >

integral of 64-x^2

Solution

\int 64 - x^{2} d x

Solution

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

Solution steps

\int 64 - 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 64 d x - \int x^{2} d x

\int 64 d x = 64 x

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

= 64 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 64 x - \frac{x ^{3}}{3} + C

Popular Examples

derivative of (36/(x^2+2))

\frac{d}{d x} (\frac{36}{x ^{2} + 2})

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\int - \frac{2 ln ( x )}{x} d x

integral of tan^3(2x)sec(2x)

\int tan^{3} (2 x) sec (2 x) d x

derivative of (1+1/x ^x)

\frac{d}{d x} ((1 + \frac{1}{x})^{x})

(dy)/(dx)+(3xy^3)=0,y(0)=1

\frac{d y}{d x} + (3 x y^{3}) = 0, y (0) = 1

Frequently Asked Questions (FAQ)

What is the integral of 64-x^2 ?
The integral of 64-x^2 is 64x-(x^3)/3+C