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Popular >

integral of 6(x+2)

Solution

\int 6 (x + 2) d x

Solution

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

Solution steps

\int 6 (x + 2) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 6 \cdot \int x + 2 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

= 6 (\int x d x + \int 2 d x)

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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