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Popular Calculus >

integral of x^8+9

Solution

integral

x^{8} + 9

Solution

\frac{x ^{9}}{9} + 9 x + C

Solution steps

\int x^{8} + 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 x^{8} d x + \int 9 d x

\int x^{8} d x = \frac{x ^{9}}{9}

\int 9 d x = 9 x

= \frac{x ^{9}}{9} + 9 x

Add a constant to the solution

= \frac{x ^{9}}{9} + 9 x + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of x^8+9 ?
The integral of x^8+9 is (x^9)/9+9x+C