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Popular Calculus >

integral of 5x+4

Solution

\int 5 x + 4 d x

Solution

\frac{5 x ^{2}}{2} + 4 x + C

Solution steps

\int 5 x + 4 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 5 x d x + \int 4 d x

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

\int 4 d x = 4 x

= \frac{5 x ^{2}}{2} + 4 x

Add a constant to the solution

= \frac{5 x ^{2}}{2} + 4 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 5x+4 ?
The integral of 5x+4 is (5x^2)/2+4x+C