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Popular Calculus >

integral of 1/2 x+3

Solution

\int \frac{1}{2} x + 3 d x

Solution

\frac{x ^{2}}{4} + 3 x + C

Solution steps

\int \frac{1}{2} x + 3 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 3 d x

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

\int 3 d x = 3 x

= \frac{x ^{2}}{4} + 3 x

Add a constant to the solution

= \frac{x ^{2}}{4} + 3 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 1/2 x+3 ?
The integral of 1/2 x+3 is (x^2)/4+3x+C