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7.2 definite integral — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths7.2 definite integral1 Mark
MCQ
$\int_0^{\pi /2} {\frac{1}{{1 + \sqrt {\tan x} }}} \,dx = $
  • A
    $\frac{\pi }{2}$
  • ✓
    $\frac{\pi }{4}$
  • C
    $\frac{\pi }{6}$
  • D
    $1$
✓

Answer

Correct option: B.
$\frac{\pi }{4}$
b
(b) $\int_0^{\pi /2} {\frac{1}{{1 + \sqrt {\tan x} }}dx = \int_0^{\pi /2} {\frac{{\sqrt {\cos x} }}{{\sqrt {\cos x} + \sqrt {\sin x} }}dx = \frac{\pi }{4}} } $.

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