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Mathematics
∫ √ (cosx-cos3x /1-cos3x) dx=
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Q. $\int \sqrt {\frac {cosx-cos^{3x}} {1-cos^3x}} dx= $
A
$- \frac {2}{3} sin^{-1} (cos ^{3/2}x)+c$
B
$ \frac {2}{3} cos^{-1} (cos ^{3/2}x)+c$
C
$ \frac {2}{3} sin^{-1} (cos ^{3/2}x)+c$
D
$ \frac {3}{2} cos^{-1} (cos ^{3/2}x)+c$
Solution:
Correct answer is (a) $- \frac {2}{3} sin^{-1} (cos ^{3/2}x)+c$