Home
Class 12
MATHS
If int(2e^(x)+3e^(-x))/(3e^(x)+4e^(-x))d...

If `int(2e^(x)+3e^(-x))/(3e^(x)+4e^(-x))dx=Ax+B log(3e^(2x)+4)`, then

A

`A=-(3)/(4), B=(1)/(24)`

B

`A=(3)/(4), B=-(1)/(24)`

C

`A=(1)/(4), B=(1)/(24)`

D

`A=-(3)/(4), B=(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|16 Videos

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : SINGLE OPTION CORRECT TYPE)|10 Videos

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|1 Videos

  • DIFFERENTIAL EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions|19 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1 : Single Option Correct Type (1 Mark))|6 Videos

Similar Questions

Explore conceptually related problems

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

int(1)/(3e^(x)+2e^(-x))dx=

If int(3e^(x)+4e^(-x))/(5e^(x)+6e^(-x))=ax+b log(5e^(2x)+6)+c, then

int(4e^x+6e^(-x))/(9e^x-4e^(-x))dx=A x+Blog(9e^(2x)-4)+C ,t h e n A=_________ _, B=_________, C=___________

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

int(e^(x))/((e^(3x)-3e^(2x)-e^(x)+3))dx

If int(2e^(x) +3e^(-x))/(4e^(x)+7e^(-x))dx=(1)/(14)(ux+v log_(e ) (4e^(x)+7e^(-x)))+C , where C is a constant of integration, then u+v is equal to ________.

int(2e^(x))/(3+4e^(x))dx=

int (e^(x)dx)/(e^(2x)+4e^(x)+3)