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Popular >

integral from 0 to 1/2 of-2x+1

Solution

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

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

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

\int_{0}^{\frac{1}{2}} 2 x d x = \frac{1}{4}

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

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

Simplify

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

= \frac{1}{4}

Popular Examples

integral from 0 to pi/2 of sqrt(cos(x))

\int_{0}^{\frac{π}{2}} cos (x) d x

integral from 1 to 3 of (x^3-1)/(x^4)

\int_{1}^{3} \frac{x ^{3} - 1}{x ^{4}} d x

integral from 0 to ln(3) of 9e^{3x}

\int_{0}^{l n (3)} 9 e^{3 x} d x

integral from-1 to 4 of x

\int_{- 1}^{4} x d x

integral from 1 to e of (2+ln(x))/x

\int_{1}^{e} \frac{2 + ln ( x )}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1/2 of-2x+1 ?
The integral from 0 to 1/2 of-2x+1 is 1/4