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Popular Calculus >

integral of 20-0.01x

Solution

\int 20 - 0.01 x d x

Solution

20 x - 0.005 x^{2} + C

Solution steps

\int 20 - 0.01 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 20 d x - \int 0.01 x d x

\int 20 d x = 20 x

\int 0.01 x d x = 0.005 x^{2}

= 20 x - 0.005 x^{2}

Add a constant to the solution

= 20 x - 0.005 x^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 20-0.01x ?
The integral of 20-0.01x is 20x-0.005x^2+C