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Popular >

integral from 0 to 2 of 1-x/2

Solution

\int_{0}^{2} 1 - \frac{x}{2} d x

Solution

1

Solution steps

\int_{0}^{2} 1 - \frac{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_{0}^{2} 1 d x - \int_{0}^{2} \frac{x}{2} d x

\int_{0}^{2} 1 d x = 2

\int_{0}^{2} \frac{x}{2} d x = 1

= 2 - 1

Simplify

= 1

Popular Examples

integral from 1 to 3 of e^x-1/x

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

integral from 0 to 1 of e^{5x-4}

\int_{0}^{1} e^{5 x - 4} d x

integral from 1 to 2 of 1/(x^2-2x+2)

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

integral from 0 to 5 of (3x-8)

\int_{0}^{5} (3 x - 8) d x

integral from 0 to 4 of 3-x^2

\int_{0}^{4} 3 - x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 1-x/2 ?
The integral from 0 to 2 of 1-x/2 is 1