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Popular >

integral of-x^2+9

Solution

\int - x^{2} + 9 d x

Solution

- \frac{x ^{3}}{3} + 9 x + C

Solution steps

\int - x^{2} + 9 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 9 d x

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

\int 9 d x = 9 x

= - \frac{x ^{3}}{3} + 9 x

Add a constant to the solution

= - \frac{x ^{3}}{3} + 9 x + C

Popular Examples

integral of e^x-8cos(x)

\int e^{x} - 8 cos (x) d x

integral of 5x-3

\int 5 x - 3 d x

integral of 1/(1+(sin(x))^2)

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

integral of 1/(sqrt(x+1)+\sqrt{(x+1)^3)}

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

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

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

Frequently Asked Questions (FAQ)

What is the integral of-x^2+9 ?
The integral of-x^2+9 is -(x^3)/3+9x+C