Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus
Answer
Comment
Share
Q)

Integrate : $\int \large\frac{1}{x \log _e x \log ( \log _e x)}$$ dx$

\[\begin {array} {1 1} (a)\;\log_e | \log (\log _e x)|+c\\ (b)\;| \log (\log _e x)|+c \\ (c)\;\log \log_e | \log (\log _e x)|+c \\ (d)\;x^2 +c \end {array}\]

1 Answer

Comment
A)
$\log (\log_e x)=t$
differentiate with x
$\large\frac{1}{\log _e (x)} \times \frac{1}{x} $$.dx=dt$
By putting values
$\int \large\frac{1}{t} $$dt$
=> $ \log_e |t| +c$
=>$\log_e | \log (\log _e x)|+c$
Hence a is the correct answer.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...