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Popular >

integral of-x^2+8

Solution

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

Solution

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

Solution steps

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

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

\int 8 d x = 8 x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (e^{2x}+3)

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

integral of x^5+2sqrt(x)

\int x^{5} + 2 x d x

integral of (e^2)

\int (e^{2}) d x

integral of 1/6 x5^{-1/3 x}

\int \frac{1}{6} x 5^{- \frac{1}{3} x} d x

integral of (cos^3(sqrt(x)))/(sqrt(x))

\int \frac{cos ^{3} ( x )}{x} d x

Frequently Asked Questions (FAQ)

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