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Popular >

integral from 5 to 2 of x

Solution

\int_{5}^{2} x d x

Solution

- \frac{21}{2}

+1

Decimal

- 10.5

Solution steps

\int_{5}^{2} x d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{2}^{5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{2}^{5}

= - [\frac{x ^{2}}{2}]_{2}^{5}

Compute the boundaries:

\frac{21}{2}

= - \frac{21}{2}

Graph

Popular Examples

y^{^{'}} + 10 y = 10

integral of x/(x^2+3x+9)

\int \frac{x}{x ^{2} + 3 x + 9} d x

integral of 2x^{-3}

\int 2 x^{- 3} d x

integral from 0 to 4 of (2t)/((t-5)^2)

\int_{0}^{4} \frac{2 t}{( t - 5 ) ^{2}} d t

limit as x approaches 0 of ln(1+x)

x \to 0 lim (ln (1 + x))

Frequently Asked Questions (FAQ)

What is the integral from 5 to 2 of x ?
The integral from 5 to 2 of x is -21/2