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Popular Calculus >

integral of 2+5x

Solution

integral

2 + 5 x

Solution

2 x + \frac{5 x ^{2}}{2} + C

Solution steps

\int 2 + 5 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 2 d x + \int 5 x d x

\int 2 d x = 2 x

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

= 2 x + \frac{5 x ^{2}}{2}

Add a constant to the solution

= 2 x + \frac{5 x ^{2}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2+5x ?
The integral of 2+5x is 2x+(5x^2)/2+C