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Popular >

integral from 0 to 1 of (1-x)

Solution

\int_{0}^{1} (1 - x) d x

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

\int_{0}^{1} 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_{0}^{1} 1 d x - \int_{0}^{1} x d x

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

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

= 1 - \frac{1}{2}

Simplify

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

= \frac{1}{2}

Popular Examples

integral of (4x^2)/(\sqrt[3]{3+5x)}

derivative of 5x^2+4sin(x)

\frac{d}{d x} (5 x^{2} + 4 sin (x))

sum from n=0 to infinity of (n/(n+2))^n

n = 0 \sum \infty (\frac{n}{n + 2})^{n}

11x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=8

11 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = 8

limit as x approaches 2 of 5/x

x \to 2 lim (\frac{5}{x})

Frequently Asked Questions (FAQ)

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