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If int (4e^x+6e^-x)/(9e^x-4e^-x)dx=Ax+B ...

If `int (4e^x+6e^-x)/(9e^x-4e^-x)dx=Ax+B ln (9e^(2x)-4)+C`, then

A

`A=(3)/(2), B=(36)/(35), C=(3)/(2).(log3)+"constant"`

B

`A=(3)/(2), B=(35)/(36), C=(3)/(2).(log3)+"constant"`

C

`A=-(3)/(2),B=-(35)/(36), C=-(3)/(2).(log3)+"constant"`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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