## Related questions with answers

Question

*Find the indefinite integral. (Check by differentiation.)*

$\displaystyle{\int}\frac{1-y^{2}}{3y}\ dy$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 5The task is to compute for the indefinite integral of the function

$\begin{aligned} f(y)= \frac{1-y^{2}}{3y}= \frac{1}{3y}- \frac{y}{3}= \frac{1}{3} \left(\frac{1}{y}-y\right) \end{aligned}$

and by differentiation, check the validity of the solution.

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