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Popular >

integral of x-2

Solution

integral

x - 2

Solution

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

Solution steps

\int x - 2 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 d x - \int 2 d x

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of-ln(x^2-x+1)

\int - ln (x^{2} - x + 1) d x

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

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

integral of 1/(x^{1/n)}

\int \frac{1}{x ^{\frac{1}{n}}} d x

integral of (sin(11x))/(1+cos^2(11x))

\int \frac{sin ( 11 x )}{1 + cos ^{2} ( 11 x )} d x

integral of x/(4x^2-1)

\int \frac{x}{4 x ^{2} - 1} d x

Frequently Asked Questions (FAQ)

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