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Popular >

integral from 0 to 9 of 3-sqrt(x)

Solution

\int_{0}^{9} 3 - x d x

Solution

9

Solution steps

\int_{0}^{9} 3 - 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}^{9} 3 d x - \int_{0}^{9} x d x

\int_{0}^{9} 3 d x = 27

\int_{0}^{9} x d x = 18

= 27 - 18

Simplify

= 9

Graph

Popular Examples

integral from 1 to 4 of (x/2-4/x)

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

integral from 0 to 1 of z^4sqrt(1-z^2)

\int_{0}^{1} z^{4} 1 - z^{2} d z

integral from 0 to 4 of pi(2sqrt(x))^2

\int_{0}^{4} π (2 x)^{2} d x

integral from 0 to 4 of 8+7sqrt(x)

\int_{0}^{4} 8 + 7 x d x

integral from-3 to 0 of g(t)

\int_{- 3}^{0} g (t) d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 9 of 3-sqrt(x) ?
The integral from 0 to 9 of 3-sqrt(x) is 9