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

Evaluate: `int((e/x)^x+(x/e)^x)1nx dxdot`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int \left( \left( \frac{e}{x} \right)^x + \left( \frac{x}{e} \right)^x \right) \ln x \, dx, \] we can simplify the expression inside the integral. ...
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    CENGAGE ENGLISH|Exercise EXAMPLE|18 Videos
  • INDEFINITE INTEGRATION

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 7.1|9 Videos
  • HYPERBOLA

    CENGAGE ENGLISH|Exercise COMPREHENSION TYPE|2 Videos
  • INEQUALITIES AND MODULUS

    CENGAGE ENGLISH|Exercise Single correct Answer|21 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int((e/x)^x+(x/e)^x)lnx \ dx .

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

Evaluate: int(e^(3x))/(e^(3x)+1)dx

Evaluate: int(e^(2x))/(1+e^x)dx

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

Evaluate: int(e^(2x)-1)/(e^(2x)+1)dxdot

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

Evaluate: int((x-1)e^x)/((x+1)^3)dx

Evaluate: int(e^x x)/((x+1)^2)dx

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