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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

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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