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Popular Calculus >

integral of a-x

Solution

\int a - x d x

Solution

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

Solution steps

\int a - x 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 a d x - \int x d x

\int a d x = a x

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

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

Add a constant to the solution

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

Graph

Popular Examples

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

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

integral of (5x^2-7x+4)

\int (5 x^{2} - 7 x + 4) d x

integral of 1/(csc^3(x))

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

integral of xrccos(x)

\int x d arccos (x) d x

integral of 16xcos(8x^2-1)

\int 16 x cos (8 x^{2} - 1) d x

Frequently Asked Questions (FAQ)

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