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Popular Calculus >

integral of 6x^5+7

Solution

\int 6 x^{5} + 7 d x

Solution

x^{6} + 7 x + C

Solution steps

\int 6 x^{5} + 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 6 x^{5} d x + \int 7 d x

\int 6 x^{5} d x = x^{6}

\int 7 d x = 7 x

= x^{6} + 7 x

Add a constant to the solution

= x^{6} + 7 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 6x^5+7 ?
The integral of 6x^5+7 is x^6+7x+C