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Question: Answered & Verified by Expert
The value of the definite integral I=∫ln⁡32ln⁡23ln⁡2-tan7⁡x2+tan7⁡xdx is equal to
MathematicsDefinite IntegrationJEE Main
Options:
  • A ln⁡4
  • B ln⁡2
  • C 0
  • D ln⁡12
Solution:
1133 Upvotes Verified Answer
The correct answer is: 0

If fx=ln⁡2-tan7⁡x2+tan7⁡x, then 
f-x=ln⁡2+tan7⁡x2-tan7⁡x
=-ln⁡2-tan7⁡x2+tan7⁡x
=-fx

So, fx is an odd function
Hence, ∫ln⁡32ln⁡23fxdx=0

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