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Popular >

integral of x^2-6

Solution

\int x^{2} - 6 d x

Solution

\frac{x ^{3}}{3} - 6 x + C

Solution steps

\int x^{2} - 6 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 6 d x

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

\int 6 d x = 6 x

= \frac{x ^{3}}{3} - 6 x

Add a constant to the solution

= \frac{x ^{3}}{3} - 6 x + C

Popular Examples

integral of 0.2t

\int 0.2 t d t

integral of 1/((x^2-225)^{3/2)}

\int \frac{1}{( x ^{2} - 225 ) ^{\frac{3}{2}}} d x

derivative of (x^2+1/(2x-3))

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

integral of e^{3z}cos(4z)

\int e^{3 z} cos (4 z) d z

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

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

Frequently Asked Questions (FAQ)

What is the integral of x^2-6 ?
The integral of x^2-6 is (x^3)/3-6x+C