The area of the region bounded by the curve y = tan x, the x-axis and the lines x = 0 and x = π/4 is:
The area of the region bounded by the curve y = tan x, the x-axis and the lines x = 0 and x = π/4 is:
- A. log √2 sq units
- B. log 2 sq units
- C. 2 log 2 sq units
- D. 1 sq unit
Answer: A) log √2 sq units
Explanation: Area = ∫[0 to π/4] tan x dx = [log|sec x|]₀^(π/4) = log(sec π/4) − log(sec 0) = log √2 − log 1 = log √2 sq units.
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