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Popular >

integral from-2 to 2 of (x-5)

Solution

\int_{- 2}^{2} (x - 5) d x

Solution

- 20

Solution steps

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

\int_{- 2}^{2} x d x = 0

\int_{- 2}^{2} 5 d x = 20

= 0 - 20

Simplify

= - 20

Popular Examples

integral from 5 to 10 of (6x)/(3x^2-5)

\int_{5}^{10} \frac{6 x}{3 x ^{2} - 5} d x

integral from-3 to-1 of x

\int_{- 3}^{- 1} x d x

integral from 0 to 1 of 2sqrt(1-y^2)

\int_{0}^{1} 2 1 - y^{2} d y

integral from 0 to 10 of (sqrt(100-x^2))

\int_{0}^{10} (100 - x^{2}) d x

integral from 4 to 9 of x^2

\int_{4}^{9} x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (x-5) ?
The integral from-2 to 2 of (x-5) is -20