Coordination CompoundHard

Question

If the integral
dx = x + a ln|sin x - 2 cos x| + k then a is equal to :

Options

A.2
B.-1
C.-2
D.1

Solution


5sinx = A(sinx - 2cosx) (sinx - 2cosx)
= A(sinx - 2cosx) + B (cosx + 2sinx)
A = 1, B = 2
Now

= x + 2log|sinx - 2cosx| + K
    a = 2

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