Indefinite IntegrationHard

Question

If dx = A cos 4x + B; where A & B are constants, then

Options

A.A = - 1/4 & B may have any value
B.A = - 1/8 & B may have any value
C.A = - 1/2 & B = - 1/4
D.A = - 1/2 & B = - 1/4

Solution

dx = A cos 4x + B
L.H.S.= ∫2 cos 2xsin x cos xdx = ∫sin 4x dx
= + B = - cos4 x - B

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