Home
Class 12
MATHS
Write the value of inte^(x)e^(e^x)e^(e^(...

Write the value of `inte^(x)e^(e^x)e^(e^(e^x))dx`.

Text Solution

Verified by Experts

Let `e^(e^(e^x))=t rArr e^(e^(e^x)).e^(e^x).e^xdx=dt`
:. The integral becomes intdt=t+Cp=e^[e^(e^x)]+C.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise PROBLEM|19 Videos
  • INVERSE TRIGONOMETRY FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Write the value of int(e^x-1)/(1-e^-x)dx

Write the value of int(e^x-1)/(1-e^(-x))dx

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

Intergrate inte^(e^(e^(x)))e^(e^(x))e^(x)dx .

int (e^(4x)(dx)/(e^(4x)-5)

Evaluate int_0^(1)e^(x)dx

Write the value of int1/(sqrt(x) e^sqrtx)dx