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Popular Calculus >

integral of 30-10x

Solution

\int 30 - 10 x d x

Solution

30 x - 5 x^{2} + C

Solution steps

\int 30 - 10 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 30 d x - \int 10 x d x

\int 30 d x = 30 x

\int 10 x d x = 5 x^{2}

= 30 x - 5 x^{2}

Add a constant to the solution

= 30 x - 5 x^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 30-10x ?
The integral of 30-10x is 30x-5x^2+C