What is the integral of (8x^2+5x-11) ?

The integral of (8x^2+5x-11) is (8x^3)/3+(5x^2)/2-11x+C

Popular >

integral of (8x^2+5x-11)

\int (8 x^{2} + 5 x - 11) d x

\frac{8 x ^{3}}{3} + \frac{5 x ^{2}}{2} - 11 x + C

Solution steps

\int 8 x^{2} + 5 x - 11 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 x^{2} d x + \int 5 x d x - \int 11 d x

\int 8 x^{2} d x = \frac{8 x ^{3}}{3}

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 11 d x = 11 x

= \frac{8 x ^{3}}{3} + \frac{5 x ^{2}}{2} - 11 x

Add a constant to the solution

= \frac{8 x ^{3}}{3} + \frac{5 x ^{2}}{2} - 11 x + C

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

\int e^{\frac{( x ^{2} )}{2}} d x

\int \frac{20 x ^{4}}{2 x ^{5} ln ( 3 )} d x

\int sin^{6} (\frac{x}{4}) cos (\frac{x}{4}) d x

\int \frac{1}{( x + 1 ) ^{2} ( x ^{2} + 2 ) ( x - 3 )} d x

What is the integral of (8x^2+5x-11) ?
The integral of (8x^2+5x-11) is (8x^3)/3+(5x^2)/2-11x+C