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Popular Calculus >

integral of 4(4x+2)

Solution

\int 4 (4 x + 2) d x

Solution

4 (2 x^{2} + 2 x) + C

Solution steps

\int 4 (4 x + 2) d x

Take the constant out:

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

= 4 \cdot \int 4 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

= 4 (\int 4 x d x + \int 2 d x)

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

\int 2 d x = 2 x

= 4 (2 x^{2} + 2 x)

Add a constant to the solution

= 4 (2 x^{2} + 2 x) + C

Graph

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Frequently Asked Questions (FAQ)

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