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Popular >

integral of x^2-9x

Solution

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

Solution

\frac{x ^{3}}{3} - \frac{9 x ^{2}}{2} + C

Solution steps

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

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

\int 9 x d x = \frac{9 x ^{2}}{2}

= \frac{x ^{3}}{3} - \frac{9 x ^{2}}{2}

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{9 x ^{2}}{2} + C

Popular Examples

integral of (1-cos(x))/(sin(x))

\int \frac{1 - cos ( x )}{sin ( x )} d x

integral of f(x)=(x-6)(x+9)(x-8)integral

f (x) = (x - 6) (x + 9) (x - 8)

integral of (x-9)/((x+5)*(x-2))

\int \frac{x - 9}{( x + 5 ) \cdot ( x - 2 )} d x

integral of x/((x^2+a^2)^3)

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

integral of (x^2)/(ln(2))

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

Frequently Asked Questions (FAQ)

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