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Popular >

integral of 1-x^9

Solution

\int 1 - x^{9} d x

Solution

x - \frac{x ^{10}}{10} + C

Solution steps

\int 1 - x^{9} 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 1 d x - \int x^{9} d x

\int 1 d x = x

\int x^{9} d x = \frac{x ^{10}}{10}

= x - \frac{x ^{10}}{10}

Add a constant to the solution

= x - \frac{x ^{10}}{10} + C

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Frequently Asked Questions (FAQ)

What is the integral of 1-x^9 ?
The integral of 1-x^9 is x-(x^{10})/(10)+C