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Popular >

integral of x/3+1

Solution

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

Solution

\frac{x ^{2}}{6} + x + C

Solution steps

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

\int \frac{x}{3} d x = \frac{x ^{2}}{6}

\int 1 d x = x

= \frac{x ^{2}}{6} + x

Add a constant to the solution

= \frac{x ^{2}}{6} + x + C

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Frequently Asked Questions (FAQ)

What is the integral of x/3+1 ?
The integral of x/3+1 is (x^2)/6+x+C