Home
Class 12
MATHS
Evaluate: int(e^(x-1)+x^(e-1))/(e^x+x^e)...

Evaluate: `int(e^(x-1)+x^(e-1))/(e^x+x^e)dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int \frac{e^{x-1} + x^{e-1}}{e^x + x^e} \, dx, \] we will use substitution and properties of logarithms. ...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos
  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate: (i) int(e^(x-1)+x^(e-1))/(e^(x)+x^(e))dx (ii) int(1)/(sin x cos^(2)x)dx

Evaluate: int(e^x-1)/(e^x+1)dx

Evaluate: int(x^(e-1)-e^(x-1))/(x^e-e^x)dx

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

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

int(x^(e-1)-e^(x-1))/(x^e-e^x)dx

Evaluate: int(1)/(e^(x)+e^(-x))dx

Evaluate: int(e^(x)+1)/(e^(x)+x)dx

Evaluate; int(e^(x)+1)/(e^(x)-1)dx

Evaluate: int1/(e^x+e^(-x))\ dx