Home
Class 12
MATHS
Write a value of int(log)e x\ dx...

Write a value of `int(log)_e x\ dx`

Text Solution

Verified by Experts

Solution:
Correct option is A)
=`\int \log x \cdot 1 \cdot d x`
=`\log x . \int d x-\int\(\frac{1}{x} \cdot \int d x) d x`
[Integration by parts]
=`(\log x) x-\int\(\frac{1}{x}) x \cdot d x`
=`x \cdot \log _{e} x-x+C`
=`x \cdot\[\log _{e} x-\log _{e}]+c`
...
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

Write a value of int(e^(x(log)_(e)a)+e^(a(log)_(e)x))dx

Write a value of int e^(3log x)x^(4)dx

Write a value of int(log x^(n))/(x)dx

Write a value of int e^(log sin x)cos xdx

Write a value of int(1+log x)/(3+x log x)dx

Write a value of int a^(x)e^(x)dx

Write a value of int((log x)^(n))/(x)dx

Write a value of int(1)/(x(log x)^(n))dx

Write a value of int e^(2)x^(2+ln x)dx