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Popular >

integral of 3x^8+10

Solution

\int 3 x^{8} + 10 d x

Solution

\frac{x ^{9}}{3} + 10 x + C

Solution steps

\int 3 x^{8} + 10 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 3 x^{8} d x + \int 10 d x

\int 3 x^{8} d x = \frac{x ^{9}}{3}

\int 10 d x = 10 x

= \frac{x ^{9}}{3} + 10 x

Add a constant to the solution

= \frac{x ^{9}}{3} + 10 x + C

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Frequently Asked Questions (FAQ)

What is the integral of 3x^8+10 ?
The integral of 3x^8+10 is (x^9)/3+10x+C