Find out the answer to "Integrate ∫(x+3)dx" - Plainmath

Jason Yuhas

Answered question

2021-12-11

Integrate

\int (x + 3) d x

Answer & Explanation

psor32

Beginner2021-12-12Added 33 answers

Use the Power Rule:

\int (a x^{n}) d x = \frac{a}{n + 1} x^{n + 1}

\int (x + 3) d x

= \frac{1}{2} x^{2} + 3 x + C

Deufemiak7

Beginner2021-12-13Added 34 answers

\int (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 x d x + \int 3 d x

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

And

\int 3 d x = 3 x

Thus,

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

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