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Popular Calculus >

integral from 1 to 2 of 1-x

Solution

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

Solution

- \frac{1}{2}

+1

Decimal

- 0.5

Solution steps

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

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

\int_{1}^{2} x d x = \frac{3}{2}

= 1 - \frac{3}{2}

Simplify

1 - \frac{3}{2} : - \frac{1}{2}

= - \frac{1}{2}

Graph

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Frequently Asked Questions (FAQ)

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