^ - 1 2 x ^ - 7 2 xdx = - Vidyadip

MCQ

$\int {{{\sin }^{\frac{{ - 1}}{2}}}x{{\cos }^{\frac{{ - 7}}{2}}}xdx = } $

A
$\tan^{\frac{1}{2}}x + \tan^{\frac{5}{2}}x + C$
B
$2 \tan^{\frac{1}{2}}x + \frac{1}{5} \tan^{\frac{5}{2}}x + C$
✓
$2 \tan^{\frac{1}{2}}x + \frac{2}{5} \tan^{\frac{5}{2}}x + C$
D
None

✓

Answer

Correct option: C.

$2 \tan^{\frac{1}{2}}x + \frac{2}{5} \tan^{\frac{5}{2}}x + C$

c

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