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Popular >

integral from 0 to 4 of (4-x)

Solution

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

Solution

8

Solution steps

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

\int_{0}^{4} 4 d x = 16

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

= 16 - 8

Simplify

= 8

Graph

Popular Examples

integral from 0 to 2 of 4-2x

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

integral from 0 to 1 of (3x+cos(3x-3))

\int_{0}^{1} (3 x + cos (3 x - 3)) d x

integral from 0 to 4 of e^{x/2}

\int_{0}^{4} e^{\frac{x}{2}} d x

integral from 0 to 1 of sin((x^2)/2)

\int_{0}^{1} sin (\frac{x ^{2}}{2}) d x

integral from-1 to 2 of ln(x+2)

\int_{- 1}^{2} ln (x + 2) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of (4-x) ?
The integral from 0 to 4 of (4-x) is 8