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Popular Calculus >

integral of 1/2 x+4

Solution

\int \frac{1}{2} x + 4 d x

Solution

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

Solution steps

\int \frac{1}{2} 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 \frac{1}{2} x d x + \int 4 d x

\int \frac{1}{2} x d x = \frac{x ^{2}}{4}

\int 4 d x = 4 x

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

Add a constant to the solution

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

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of 1/2 x+4 ?
The integral of 1/2 x+4 is (x^2)/4+4x+C