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I am having trouble with a question really need help please.

$$ \int {\sqrt{x^2 + 81} \over 2} \,dx $$

I thought about taking the square root off and turning the question into $\frac 12 \int (x^2 +81)^{1/2}\, dx$ but then wondered if I could use the quotient rule.

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    Unfortunately, there is no such thing as a "quotient rule" for integration. What other techniques do you know? If this is HW for a course, what section are you currently studying? There is a particular technical method that works, based on the fact that "$x^2 + a^2$" shows up inside a radical.2012-03-07

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