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BITSAT 2011
Exam
BITSAT
Year
2011
Subject
Mathematics
Chapter
Area Under Curves

BITSAT 2011 · Mathematics · Area Under Curves

What is the area bounded by (y= x, y=0) and (x= (π)/(4) ?)

What is the area bounded by (y=\tan x, y=0) and (x=π4\frac{\pi}{4}?)

Options

  1. A(\ell n 2 sq\mathrm{sq}). units
  2. B(ℓn22\frac{\ell n 2}{2}~sq\mathrm{sq}). units
  3. C(2 (\ell n 2) sq\mathrm{sq}). units
  4. DNone of these

Correct answer

B. (ℓn22\frac{\ell n 2}{2}~sq\mathrm{sq}). units

Step-by-step solution

Required area (=\int0π4tan⁡int_0^{\frac{\pi}{4}} \tanx d x) (=\ln |\sec 1|_0^{\frac{\pi}{4}}=\ln \sqrt{2}=\frac{\ln 2}{2}$)
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