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Popular >

integral of 5x^4-1

Solution

\int 5 x^{4} - 1 d x

Solution

x^{5} - x + C

Solution steps

\int 5 x^{4} - 1 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 5 x^{4} d x - \int 1 d x

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

\int 1 d x = x

= x^{5} - x

Add a constant to the solution

= x^{5} - x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 5x^4-1 ?
The integral of 5x^4-1 is x^5-x+C