1
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+3
-0.75
The value of the integral $$\int {{{{{\cos }^3}x + {{\cos }^5}x} \over {{{\sin }^2}x + {{\sin }^4}x}}} \,dx\,$$ is
A
$$\sin x - 6{\tan ^{ - 1}}\left( {\sin x} \right) + c$$
B
$$\sin x - 2{\left( {\sin x} \right)^{ - 1}} + c$$
C
$$\sin x - 2{\left( {\sin x} \right)^{ - 1}} - 6{\tan ^{ - 1}}\left( {\sin x} \right) + c$$
D
$$\,\sin x - 2{\left( {\sin x} \right)^{ - 1}} + 5{\tan ^{ - 1}}\left( {\sin x} \right) + c$$
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