Find the value of A and B-if -dx-5 - 4cos x - Atan - 1Btanx-2 - c

2/3tan ^ 1( 1/3tanx/2) + c so #160; A = 2/3 and B = 1/3 ...

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Integration of Trigonometric Functions

Find the valu...

Question

Find the value of A and B,if $\int \frac{d x}{5 + 4 cos x} = A {tan}^{- 1} (B tan \frac{x}{2}) + c$

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\int \frac{d x}{5 + 4 cos x} = a {tan}^{- 1} (b tan \frac{x}{2}) + c

a

b

\int \frac{d x}{5 + 4 c o s x} = a t a n^{- 1} (b t a n \frac{x}{2}) + c

\int \frac{d x}{5 + 4 c o s x} = K t a n^{- 1} (M t a n \frac{x}{2}) + C

\int \frac{d x}{2 sin x - cos x + 5} = A {tan}^{- 1} \frac{f (x)}{\sqrt{5}} + C,

A

f (x)

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\int_{0}^{π / 2} \frac{d x}{5 + 4 cos x}

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