Home
Class 11
MATHS
(e^(x)-e^(-x))/(e^(x)+e^(-x))...

`(e^(x)-e^(-x))/(e^(x)+e^(-x))`

Text Solution

Verified by Experts

The correct Answer is:
` :. I = int (du)/(u) = log |u| + c = log |e^(x) + e^(-x) | + c `
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Exercise 11.7|12 Videos
  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Exercise 11.8|6 Videos
  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Exercise 11.5|20 Videos
  • GOVT. MODEL QUESTION PAPER - 2 (2018 - 19)

    SURA PUBLICATION|Exercise SECTION - IV|13 Videos
  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - A|14 Videos

Similar Questions

Explore conceptually related problems

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

Integrate the functions (e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))

For each of the differential equations in (e^(x)+e^(-x))dy-(e^(x)-e^(-x))dx=0

Evaluate: int(e^(3x)+e^(5x))/(e^x+e^(-x))dx

Answer the equation: int(e^((x)/(2))-e^(-(x)/(2)))/(e^(x)-e^(-x))dx

Ifint(3e^x-5e^(-1))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n

Evaluate int(e^(2x)+e^(-2x)+2)/(e^(x))

The range of the function f(x)=(e^x-e^(|x|))/(e^x+e^(|x|)) is (a) (-oo,oo) (b) [0,1] (-1,0] (d) (-1,1)

If I=int(e^x)/(e^(4x)+e^(2e)+1) dx. J=int(e^(-x))/(e^(-4x)+e^(-2x)+1) dx. Then for an arbitrary constant c, the value of J-I equal to

The value of x, for which the matrix A = [(e^(x-2),e^(7+x)),(e^(2+x),e^(2x+3))] is singular is