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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

Graph

Popular Examples

integral of x^5\sqrt[4]{1+x^3}

\int x^{5} 4 1 + x^{3} d x

integral of 2xln(3)

\int 2 x ln (3) d x

integral of (7x^2)/(sqrt(1-x^3))

\int \frac{7 x ^{2}}{1 - x ^{3}} d x

integral of (2cos(4x)-1)^{1/2}sin(4x)

\int (2 cos (4 x) - 1)^{\frac{1}{2}} sin (4 x) d x

integral of 1/(sqrt(1-x^2))*x

\int \frac{1}{1 - x ^{2}} \cdot x 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