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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 (x(x-6))/((x-3)^3)

\int \frac{x ( x - 6 )}{( x - 3 ) ^{3}} d x

integral of 3/(9-4x^2)

\int \frac{3}{9 - 4 x ^{2}} d x

y^{''}-y^'-6y=-4e^{2t},y(0)=0,y^'(0)=0

y^{^{''}} - y^{^{'}} - 6 y = - 4 e^{2 t}, y (0) = 0, y^{^{'}} (0) = 0

derivative of f(x)=(2-x^2)/(2+x^2)derivative of

f (x) = \frac{2 - x ^{2}}{2 + x ^{2}}

derivative of f(sqrt(x))derivative of

f (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