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Popular Calculus >

integral of (12x+7)

Solution

\int (12 x + 7) d x

Solution

6 x^{2} + 7 x + C

Solution steps

\int 12 x + 7 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 12 x d x + \int 7 d x

\int 12 x d x = 6 x^{2}

\int 7 d x = 7 x

= 6 x^{2} + 7 x

Add a constant to the solution

= 6 x^{2} + 7 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (12x+7) ?
The integral of (12x+7) is 6x^2+7x+C