Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

Integrate  \int_{1}^{2}\frac{\ln x}{\ln x + \ln(3-x)}dx

  • Option 1)

    1

  • Option 2)

    1/2

  • Option 3)

    3/2

  • Option 4)

    2

 

Answers (1)

best_answer

As we learnt 

 

Properties of Definite Integration -

 

\int_{a}^{b}f\left ( x \right )dx= \int_{a}^{b}f\left ( a+b-x \right )dx

\int_{a}^{b}\frac{f\left ( x \right )}{f\left ( x \right )+f\left ( a+b-x \right )}dx= \int_{a}^{b}f\left ( a+b-x \right )dx= \frac{b-a}{2}

-

 

 Thus \: I=\frac{2-1}{2}= \frac{1}{2}

 


Option 1)

1

Option 2)

1/2

Option 3)

3/2

Option 4)

2

Posted by

Aadil

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

JEE Mains 2026 Jan 28 Shift 1: Students find BTech Paper 1 moderate overall, maths most difficult
anam-khan

JEE Mains 2026 Jan 28 LIVE: Shift 1 paper 'moderate' in difficulty; memory-based questions, answer key
anam-khan

JEE Main 2026 LIVE: NTA to begin session 2 registration soon; shift-wise exam analysis

Latest Question