Let P(x)=\\int{d x}/{e^{x}+8 e^{-x}+4 e^{-3 x}}Q(x)=\\int{d x}/{e^{3 x}+8 e^{x}+4 e^{-x}} and R(x)=P(x)-2 Q(x)If R(x)=\frac{1}{2} A({B+2 e^{-x}}/{C})+K, then the value of (A, B, C)is

Correct Answer is : (tan−1,ex,2)

(\tan ^{-1}, \frac{1}{2}, {1}/{e^{x}})

(\tan ^{-1}, {1}/{e^{x}}, \frac{1}{2})

BITSAT 2018 Slot 2 Solved Paper

Section: Mathematics

Question : 143 of 150

Marks: +1, -0

Let P(x)=∫

ex+8e−x+4e−3x

Q(x)=∫

e3x+8ex+4e−x

and R(x)=P(x)−2Q(x)If R(x)=

B+2e−x

)+K, then the value of (A,B,C)is

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