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Popular >

integral of-x^2+2x+8

Solution

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

Solution

- \frac{x ^{3}}{3} + x^{2} + 8 x + C

Solution steps

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

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

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

\int 8 d x = 8 x

= - \frac{x ^{3}}{3} + x^{2} + 8 x

Add a constant to the solution

= - \frac{x ^{3}}{3} + x^{2} + 8 x + C

Graph

Popular Examples

integral of (20x^4+8)(2x^5+4x)^{15}

\int (20 x^{4} + 8) (2 x^{5} + 4 x)^{15} d x

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\int 80 x^{\frac{1}{2}} d x

integral of (cos(pi/(x^7)))/(x^8)

\int \frac{cos ( \frac{π}{x ^{7}} )}{x ^{8}} d x

integral of-cos(x)e^x

\int - cos (x) e^{x} d x

integral of (sec(x)+csc(x))^2

\int (sec (x) + csc (x))^{2} d x

Frequently Asked Questions (FAQ)

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