venkat
Last Activity: 6 Years ago
In these kind of sums the first thing you have to do is to put x=t2
then tx=2tdt
substitute it in the integral you will get
Now rationalise the denominator with 1-t
now split the integral into two parts
We know that integral of f ‘(x)/sqrt f(x) =2f(x)^1/2 and adding ,subtracting 1 in the second part of the integral we get
Then by using the identites we get that
now replacing t2 with x we get
and that is your answer
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