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Popular >

integral of x^n-1

Solution

integral

x^{n} - 1

Solution

\frac{x ^{n + 1}}{n + 1} - x + C

Solution steps

\int x^{n} - 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 x^{n} d x - \int 1 d x

\int x^{n} d x = \frac{x ^{n + 1}}{n + 1}

\int 1 d x = x

= \frac{x ^{n + 1}}{n + 1} - x

Add a constant to the solution

= \frac{x ^{n + 1}}{n + 1} - x + C

Popular Examples

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integral of x^{-1}1 integral

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Frequently Asked Questions (FAQ)

What is the integral of x^n-1 ?
The integral of x^n-1 is (x^{n+1})/(n+1)-x+C