Please help me! and can you show step by step please!
1 answer:
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Replace x with π/2 - x to get the equivalent integral
but the integrand is even, so this is really just
Substitute x = 1/2 arccot(u/2), which transforms the integral to
There are lots of ways to compute this. What I did was to consider the complex contour integral
where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be
which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit
and it follows that
To solve for 
You first need to find a common denominator.
To do so, you need to make both denominators 10 by multiplying the top and bottom of
by 5
=
Reduce by dividing both the top and bottom by 2
Your answer is
To do so, you need to make both denominators 10 by multiplying the top and bottom of
Your answer is