What is the integral of (5x^9-11x^{21}) ?

The integral of (5x^9-11x^{21}) is (x^{10})/2-(x^{22})/2+C

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integral of (5x^9-11x^{21})

\int (5 x^{9} - 11 x^{21}) d x

\frac{x ^{10}}{2} - \frac{x ^{22}}{2} + C

Solution steps

\int 5 x^{9} - 11 x^{21} 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^{9} d x - \int 11 x^{21} d x

\int 5 x^{9} d x = \frac{x ^{10}}{2}

\int 11 x^{21} d x = \frac{x ^{22}}{2}

= \frac{x ^{10}}{2} - \frac{x ^{22}}{2}

Add a constant to the solution

= \frac{x ^{10}}{2} - \frac{x ^{22}}{2} + C

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What is the integral of (5x^9-11x^{21}) ?
The integral of (5x^9-11x^{21}) is (x^{10})/2-(x^{22})/2+C