If ∫ ( dx /5+4 cos x )= a tan -1( b tan ( x /2))+ c, then-

Question

If ∫ ( dx /5+4 cos x )= a tan -1( b tan ( x /2))+ c, then- (A) a =(2/3), b =-(1/3) (B) a =(2/3), b =(1/3) (C) a =-(2/3), b =(1/3) (D) a =-(2/3), b =-(1/3)

Tardigrade Admin · Accepted Answer

Correct answer is (b) a =(2/3), b =(1/3)

Q. If $\int \frac{d x}{5 + 4 c o s x} = a tan^{- 1} (b tan \frac{x}{2}) + c$ , then-

$a = \frac{2}{3}, b = - \frac{1}{3}$

$a = \frac{2}{3}, b = \frac{1}{3}$

$a = - \frac{2}{3}, b = \frac{1}{3}$

$a = - \frac{2}{3}, b = - \frac{1}{3}$

Correct answer is (b) $a = \frac{2}{3}, b = \frac{1}{3}$

Q. If ∫5+4cosxdx​=atan−1(btan2x​)+c, then-

a=32​,b=−31​

a=32​,b=31​

a=−32​,b=31​

a=−32​,b=−31​

Correct answer is (b) a=32​,b=31​

Q. If $\int \frac{d x}{5 + 4 c o s x} = a tan^{- 1} (b tan \frac{x}{2}) + c$ , then-

$a = \frac{2}{3}, b = - \frac{1}{3}$

$a = \frac{2}{3}, b = \frac{1}{3}$

$a = - \frac{2}{3}, b = \frac{1}{3}$

$a = - \frac{2}{3}, b = - \frac{1}{3}$

Correct answer is (b) $a = \frac{2}{3}, b = \frac{1}{3}$