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Popular >

integral from 0 to 9 of (x-1/2)

Solution

\int_{0}^{9} (x - \frac{1}{2}) d x

Solution

36

Solution steps

\int_{0}^{9} 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}^{9} x d x - \int_{0}^{9} \frac{1}{2} d x

\int_{0}^{9} x d x = \frac{81}{2}

\int_{0}^{9} \frac{1}{2} d x = \frac{9}{2}

= \frac{81}{2} - \frac{9}{2}

Simplify

\frac{81}{2} - \frac{9}{2} : 36

= 36

Graph

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\int_{0}^{1} 4 x - 4 d x

integral from 0 to 2pi of (cos^2(t))

\int_{0}^{2 π} (cos^{2} (t)) d t

integral from 1 to 10 of x(x-1)

\int_{1}^{10} x (x - 1) d x

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\int_{- 2}^{2} 4 e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 9 of (x-1/2) ?
The integral from 0 to 9 of (x-1/2) is 36