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Popular >

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

Popular Examples

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

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

integral of 3/(e^x)

\int \frac{3}{e ^{x}} d x

derivative of x^2e^{4x}

\frac{d}{d x} (x^{2} e^{4 x})

integral of 12x^3sqrt(x)

\int 12 x^{3} x d x

derivative of arctan(9x^4)derivative of

arctan (9 x^{4})

Frequently Asked Questions (FAQ)

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