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Popular >

integral from 0 to 5 of 5-x

Solution

\int_{0}^{5} 5 - x d x

Solution

\frac{25}{2}

+1

Solution steps

\int_{0}^{5} 5 - 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_{0}^{5} 5 d x - \int_{0}^{5} x d x

\int_{0}^{5} 5 d x = 25

\int_{0}^{5} x d x = \frac{25}{2}

= 25 - \frac{25}{2}

Simplify

25 - \frac{25}{2} : \frac{25}{2}

= \frac{25}{2}

Popular Examples

integral from 0 to log_{5 of (7)}5^x

\int_{0}^{l o g_{5} (7)} 5^{x} d x

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\int_{6 x}^{- 8} sin (t^{2}) d t

integral from 1 to e of ((2+ln(x))^3)/x

\int_{1}^{e} \frac{( 2 + ln ( x ) ) ^{3}}{x} d x

integral from-1 to 0 of (-x-1)

\int_{- 1}^{0} (- x - 1) d x

integral from 1 to e^x of 1/t

\int_{1}^{e^{x}} \frac{1}{t} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of 5-x ?
The integral from 0 to 5 of 5-x is 25/2