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Popular >

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

Solution

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

Solution

\frac{1}{4}

+1

Decimal

0.25

Solution steps

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

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

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

= \frac{3}{4} - \frac{1}{2}

Simplify

\frac{3}{4} - \frac{1}{2} : \frac{1}{4}

= \frac{1}{4}

Graph

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\int_{1}^{4} (x - 2) d x

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\int_{3}^{6} (6 x + 9) ln (x + 3) d x

integral from 0 to infinity of e^{-t}t

\int_{0}^{\infty} e^{- t} t d t

Frequently Asked Questions (FAQ)

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