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Ifint(3e^x-5e^(-1))/(4e^x+5e^(-x))dx=a x...

`Ifint(3e^x-5e^(-1))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n` `a=-1/8,b=7/8` (b) `a=1/8,b=7/8` `a=-1/8,b=-7/8` (d) `a=1/8,b=-7/8""`

A

`a= -(1)/(8), b=(7)/(8)`

B

`a= (1)/(8), b=(7)/(8)`

C

`a= -(1)/(8), b= -(7)/(8)`

D

`a= (1)/(8), b= -(7)/(8)`

Text Solution

AI Generated Solution

To solve the integral \[ \int \frac{3e^x - 5e^{-x}}{4e^x + 5e^{-x}} \, dx \] and express it in the form ...
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