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Popular Calculus >

integral from 0 to 8 of (x-1/2)

Solution

\int_{0}^{8} (x - \frac{1}{2}) d x

Solution

28

Solution steps

\int_{0}^{8} x - \frac{1}{2} 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}^{8} x d x - \int_{0}^{8} \frac{1}{2} d x

\int_{0}^{8} x d x = 32

\int_{0}^{8} \frac{1}{2} d x = 4

= 32 - 4

Simplify

= 28

Graph

Popular Examples

integral from 0 to 1 of x^2-3x+5

\int_{0}^{1} x^{2} - 3 x + 5 d x

integral from 0 to 1 of x^2-3x+6

\int_{0}^{1} x^{2} - 3 x + 6 d x

integral from 0 to 2x of e^{-x^2}

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

integral from 3 to 6 of (3x^2+x-3)

\int_{3}^{6} (3 x^{2} + x - 3) d x

integral from 1 to 4 of (1+x^2)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 8 of (x-1/2) ?
The integral from 0 to 8 of (x-1/2) is 28