Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

Find the integrals \int \frac{\sin (lnx )}{x}dx

  • Option 1)

    \cos (lnx )+C

  • Option 2)

    - \cos (lnx )+ C

  • Option 3)

    \sin (lnx )+ C

  • Option 4)

    -\sin (lnx )+ C

Answers (1)

best_answer

As we have learned

Type of integration by substitution -

Integral of the functions containing functions of trigonometric functions 

\because \int sin f(x)\left f'(x) \right dx

\therefore \int sint dt = -cos t+c

ex:  \therefore \int sin\left ( ax+b \right )dx=\frac{-cos(ax+b)}{a}+c

- wherein

Let f(x)=t

\therefore f'(x)dx=dt

 

put (lnx) = t 

\Rightarrow \frac{dx}{x}= dt

I= \int (\sin t)dt = -\cos (lnx)+ C

 

 

 

 


Option 1)

\cos (lnx )+C

This is incorrect

Option 2)

- \cos (lnx )+ C

This is correct

Option 3)

\sin (lnx )+ C

This is incorrect

Option 4)

-\sin (lnx )+ C

This is incorrect

Posted by

gaurav

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today
anam-khan

JoSAA round 2 cut-off 2025 out; BTech closing ranks for top engineering courses at IITs
anam-khan

Goa Engineering Admission 2025: 1,415 eligible for BE seats; merit list on June 27

Latest Question