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Popular >

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

Solution

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

Solution

1

Solution steps

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

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

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

= 2 - 1

Simplify

= 1

Popular Examples

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

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

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\int_{- 1}^{1} x^{8} d x

integral from 0 to x^3 of sin(x)

\int_{0}^{x^{3}} sin (x) d x

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

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

integral from 0 to 1 of 1/t

\int_{0}^{1} \frac{1}{t} d t

Frequently Asked Questions (FAQ)

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