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Popular Calculus >

integral of 5z^4+5

Solution

integral

5 z^{4} + 5

Solution

z^{5} + 5 z + C

Solution steps

\int 5 z^{4} + 5 d z

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 5 z^{4} d z + \int 5 d z

\int 5 z^{4} d z = z^{5}

\int 5 d z = 5 z

= z^{5} + 5 z

Add a constant to the solution

= z^{5} + 5 z + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 5z^4+5 ?
The integral of 5z^4+5 is z^5+5z+C