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Popular >

integral from-4 to 2 of (-x+2)

Solution

\int_{- 4}^{2} (- x + 2) d x

Solution

18

Solution steps

\int_{- 4}^{2} - x + 2 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_{- 4}^{2} x d x + \int_{- 4}^{2} 2 d x

\int_{- 4}^{2} x d x = - 6

\int_{- 4}^{2} 2 d x = 12

= - (- 6) + 12

Simplify

= 18

Popular Examples

integral from 0 to 3 of (5x+3)

\int_{0}^{3} (5 x + 3) d x

integral from-3 to 1 of 6x^2-5x+2

\int_{- 3}^{1} 6 x^{2} - 5 x + 2 d x

integral from 2 to 3 of g(x)

\int_{2}^{3} g (x) d x

integral from 0 to 0.4 of sqrt(1+x^4)

\int_{0}^{0.4} 1 + x^{4} d x

integral from 1 to 5 of (3x^{-1}+x^{-3})

\int_{1}^{5} (3 x^{- 1} + x^{- 3}) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 2 of (-x+2) ?
The integral from-4 to 2 of (-x+2) is 18