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Popular >

integral from 0 to 2 of (4-x)

Solution

\int_{0}^{2} (4 - x) d x

Solution

6

Solution steps

\int_{0}^{2} 4 - 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}^{2} 4 d x - \int_{0}^{2} x d x

\int_{0}^{2} 4 d x = 8

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

= 8 - 2

Simplify

= 6

Graph

Popular Examples

integral from 1 to 4 of (1-x)sqrt(x)

\int_{1}^{4} (1 - x) x d x

integral from 0 to 2 of 5e^{-5x}

\int_{0}^{2} 5 e^{- 5 x} d x

integral from 0 to 1 of 4/(pi(1+x^2))

\int_{0}^{1} \frac{4}{π ( 1 + x ^{2} )} d x

integral from 1 to 7 of 2x+1/x

\int_{1}^{7} 2 x + \frac{1}{x} d x

integral from (-pi)/2 to pi/2 of xcos(x)

\int_{\frac{- π}{2}}^{\frac{π}{2}} x cos (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (4-x) ?
The integral from 0 to 2 of (4-x) is 6