Sir, I have a doubt , Let, we want to find area of this function between any limit, then how can we find it ? f(x) = ∫ 1/ln(x) dx

Question

Saurabh Koranglekar · Answer

Vikas TU · Answer

Dear student

lnx = t
x = e^t
1/x dx = dt
dx = xdt
∫e^t/t dt
=> Now apply ILATE RULE
Let u = e^t
v = 1/t
I = -1/t^2 * e^t - ∫1/t *e^tdt
2I = -e^t/t^2
I = -e^t/2t^2
and put the limit in which you want to find the area.
Hope this helps

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

Sir, I have a doubt , Let, we want to find area of this function between any limit, then how can we find it ? f(x) = ∫ 1/ln(x) dx

Sir, I have a doubt ,
Let, we want to find area of this function between any limit, then how can we find it ?
f(x) =∫ 1/ln(x) dx

2 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Integral Calculus

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

IIT JEE Courses

One Year IIT Programme

Two Year IIT Programme

Crash Course

NEET Courses

One Year NEET Programme

Two Year NEET Programme

One to One

School Board

Live Online classes

Class 11 & 12

Class 9 & 10

Class 6, 7 & 8

Test Series

JEE test series

NEET test series

C.B.S.E test series

Complete Self Study Packages

FULL COURSE

For class 12th

For class 11th

Sir, I have a doubt , Let, we want to find area of this function between any limit, then how can we find it ? f(x) = ∫ 1/ln(x) dx

Sir, I have a doubt , Let, we want to find area of this function between any limit, then how can we find it ?f(x) =∫ 1/ln(x) dx

2 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Integral Calculus

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Sir, I have a doubt ,
Let, we want to find area of this function between any limit, then how can we find it ?
f(x) =∫ 1/ln(x) dx