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Popular >

integral of x-2

Solution

\int x - 2 d x

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

Popular Examples

derivative of f(x)=3x+x^{4/3}derivative of

f (x) = 3 x + x^{\frac{4}{3}}

limit as x approaches 0+of 1/x*e^{1/x}

x \to 0 + lim (\frac{1}{x} \cdot e^{\frac{1}{x}})

derivative of f(x)=3cos(2x)derivative of

f (x) = 3 cos (2 x)

area y= 8/(1+x^4),y=4x^2 area

y = \frac{8}{1 + x ^{4}}, y = 4 x^{2}

derivative of f(x)= 1/(sqrt(x-4))derivative of

f (x) = \frac{1}{x - 4}

Frequently Asked Questions (FAQ)

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