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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

limit as x approaches 0 of (x^2-5x)/x

x \to 0 lim (\frac{x ^{2} - 5 x}{x})

integral of 24sin(x)

\int 24 sin (x) d x

integral of (6x+3)/(x^2+11x+28)

\int \frac{6 x + 3}{x ^{2} + 11 x + 28} d x

sum from n=2 to infinity of 1/(4^{2n)}

n = 2 \sum \infty \frac{1}{4 ^{2 n}}

integral of 1/(4x^2+12x+18)

\int \frac{1}{4 x ^{2} + 12 x + 18} 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