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Popular >

integral of 8-x^2

Solution

\int 8 - x^{2} d x

Solution

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

Solution steps

\int 8 - 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 8 d x - \int x^{2} d x

\int 8 d x = 8 x

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

= 8 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 8 x - \frac{x ^{3}}{3} + C

Popular Examples

integral of (sin(2x))/(34+cos^2(x))

\int \frac{sin ( 2 x )}{34 + cos ^{2} ( x )} d x

integral of 1/(sqrt(x^2-2x+4))

\int \frac{1}{x ^{2} - 2 x + 4} d x

integral of ((x+3))/((x^2+6x))

\int \frac{( x + 3 )}{( x ^{2} + 6 x )} d x

integral of-4e^{-4x}

\int - 4 e^{- 4 x} d x

integral of e^x3^{2x}

\int e^{x} 3^{2 x} d x

Frequently Asked Questions (FAQ)

What is the integral of 8-x^2 ?
The integral of 8-x^2 is 8x-(x^3)/3+C