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Popular >

integral of (13-x)

Solution

\int (13 - x) d x

Solution

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

Solution steps

\int 13 - 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 13 d x - \int x d x

\int 13 d x = 13 x

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

= 13 x - \frac{x ^{2}}{2}

Add a constant to the solution

= 13 x - \frac{x ^{2}}{2} + C

Popular Examples

partialfraction (x^2)/(2+x)partial fractions

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

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f (x) = 2 x^{3} - 4

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\frac{d}{d x} (2 x + \frac{6}{x})

integral of x/(2x+1)

\int \frac{x}{2 x + 1} d x

integral of 1/(9+(x+1)^2)

\int \frac{1}{9 + ( x + 1 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of (13-x) ?
The integral of (13-x) is 13x-(x^2)/2+C