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Popular Calculus >

integral of (x-a)

Solution

\int (x - a) d x

Solution

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

Solution steps

\int x - a 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 a d x

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

\int a d x = a x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (sin(θ))^2

\int (sin (θ))^{2} d θ

derivative of 2x^5-e^x

\frac{d}{d x} (2 x^{5} - e^{x})

integral of x^5ln(x)

\int x^{5} ln (x) d x

integral of (x-2)/(x^3-3x^2-x+3)

\int \frac{x - 2}{x ^{3} - 3 x ^{2} - x + 3} d x

(dP)/(dt)=0.2P(1-P/(1000))-32

\frac{d P}{d t} = 0.2 P (1 - \frac{P}{1000}) - 32

Frequently Asked Questions (FAQ)

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