Book Maths Puzzle Numerical Ability

what is the integration of cos^2x/(cos^2x+4sin^2x)

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Book Other Question

if the product of n positive integers is n^n then their sum is----
a.a negetive no
b.eqal to n
c.eqal to (n+1/n)
d.never less than n^2 what is the integration of (sinx+cosx)/(sqrt(sin2x))