Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The integral 24logx2logx2+log6-x2dx is equal to
MathematicsDefinite IntegrationJEE MainJEE Main 2015 (04 Apr)
Options:
  • A 6
  • B 2
  • C 4
  • D 1
Solution:
1098 Upvotes Verified Answer
The correct answer is: 1

I=24logx2logx2+log6-x2dx

I=24log6-x2log6-x2+logx2dx

abfxdx=abfa+b-xdx

2I=24logx2+log6-x2log6-x2+logx2dx

2I=241dx

2I=x24

  I=1

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.