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Popular >

integral of (10-x)

Solution

\int (10 - x) d x

Solution

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

Solution steps

\int 10 - 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 10 d x - \int x d x

\int 10 d x = 10 x

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

= 10 x - \frac{x ^{2}}{2}

Add a constant to the solution

= 10 x - \frac{x ^{2}}{2} + C

Popular Examples

maclaurin sqrt(1-x/3)maclaurin

1 - \frac{x}{3}

derivative of (|x-2|)/(x^2)derivative of

\frac{∣ x - 2 ∣}{x ^{2}}

derivative of (100/((1+5x)^3))

\frac{d}{d x} (\frac{100}{( 1 + 5 x ) ^{3}})

integral of (1+tan(x))/(1-tan(x))

\int \frac{1 + tan ( x )}{1 - tan ( x )} d x

limit as x approaches infinity of (1-1/(4x))^{8x}

x \to \infty lim ((1 - \frac{1}{4 x})^{8 x})

Frequently Asked Questions (FAQ)

What is the integral of (10-x) ?
The integral of (10-x) is 10x-(x^2)/2+C