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Popular >

integral from 0 to x of (2-x)

Solution

\int_{0}^{x} (2 - x) d x

Solution

2 x - \frac{x ^{2}}{2}

Solution steps

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

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

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

= 2 x - \frac{x ^{2}}{2}

Popular Examples

integral from 0 to infinity of 1/y

\int_{0}^{\infty} \frac{1}{y} d y

integral from 0 to 400 of x

\int_{0}^{400} x d x

integral from-1 to x of 1/3

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

integral from 4 to 8 of 1/(sqrt(64-x^2))

\int_{4}^{8} \frac{1}{64 - x ^{2}} d x

integral from 0 to 0.4 of x^2(1-x)^2

\int_{0}^{0.4} x^{2} (1 - x)^{2} d x

Frequently Asked Questions (FAQ)

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