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Popular >

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

Solution

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

Solution

\frac{1}{4}

+1

Decimal

0.25

Solution steps

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

\int_{1}^{2} \frac{1}{2} x d x = \frac{3}{4}

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

= - \frac{3}{4} + 1

Simplify

- \frac{3}{4} + 1 : \frac{1}{4}

= \frac{1}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of-1/2 x+1 ?
The integral from 1 to 2 of-1/2 x+1 is 1/4