If $$\int_{{}}^{{}}{\frac{4{{e}^{x}}+6{{e}^{-x}}}{9{{e}^{x}}-4{{e}^{-x}}}dx=Ax+B\log (9{{e}^{2x}}-4)}+C$$, then A, B and C are [IIT 1990]

Question

If $$\int_{{}}^{{}}{\frac{4{{e}^{x}}+6{{e}^{-x}}}{9{{e}^{x}}-4{{e}^{-x}}}dx=Ax+B\log (9{{e}^{2x}}-4)}+C$$, then A, B and C are   [IIT 1990]

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$$A=\frac{3}{2},\ B=\frac{36}{35},\ C=\frac{3}{2}\log 3+$$constant

TuteeHUB · Answer

$$A=\frac{3}{2},\ B=\frac{35}{36},\ C=\frac{3}{2}\log 3+$$constant

TuteeHUB · Answer

$$A=-\frac{3}{2},\ B=-\frac{35}{36},\ C=-\frac{3}{2}\log 3+$$constant

TuteeHUB · Answer

None of these

1.	If \[\int_{{}}^{{}}{\frac{4{{e}^{x}}+6{{e}^{-x}}}{9{{e}^{x}}-4{{e}^{-x}}}dx=Ax+B\log (9{{e}^{2x}}-4)}+C\], then A, B and C are [IIT 1990]
A.	\[A=\frac{3}{2},\ B=\frac{36}{35},\ C=\frac{3}{2}\log 3+\]constant
B.	\[A=\frac{3}{2},\ B=\frac{35}{36},\ C=\frac{3}{2}\log 3+\]constant
C.	\[A=-\frac{3}{2},\ B=-\frac{35}{36},\ C=-\frac{3}{2}\log 3+\]constant
D.	None of these
Answer» E.

If \[\int_{{}}^{{}}{\frac{4{{e}^{x}}+6{{e}^{-x}}}{9{{e}^{x}}-4{{e}^{-x}}}dx=Ax+B\log (9{{e}^{2x}}-4)}+C\], then A, B and C are [IIT 1990]