imo class 12 definite integration

The value of ∫₋π₄^(π/4) tan⁷ x dx is:

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The value of ∫₋π₄^(π/4) tan⁷ x dx is:

  • A. 1
  • B. 0
  • C. 2
  • D. π/4

Answer: B) 0

Explanation: tan⁷ x is odd function (tan x is odd, odd power remains odd). Limits symmetric about 0. Integral of odd function over symmetric interval is 0.

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