IIT-JEE 1995 Screening | Indefinite Integrals Question 10 | Mathematics | JEE Advanced - ExamSIDE.com

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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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