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Popular >

integral from 0 to 1 of x-1/2

Solution

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

Solution

0

Solution steps

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

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

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

= \frac{1}{2} - \frac{1}{2}

Simplify

= 0

Popular Examples

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\int_{1}^{3} 6 - 2 x d x

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

integral from 0 to 2 of 2sin((npix)/2)

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

Frequently Asked Questions (FAQ)

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