Integrate x+1/sqrt(x). I know that the answer is 2/3 • sqrt(x) • (x+3) + C, but I don't know how it is simplified from 2/3 • x^3
/2 + 2 • x^1/2 + C. Please explain this step in detail? Thank you!
1 answer:


By the power rule,

(this seems to be the step you're not getting?)

The next step is to pull out a common factor of
from the antiderivative:

so that the final result is

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