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Evaluate int 1/(3 + 2 cos^(2)x)dx...

Evaluate `int 1/(3 + 2 cos^(2)x)dx`

A

(a) `1/sqrt(15) tan^(-1) ((sqrt(3)tanx)/sqrt(5)) +c`

B

(b) `1/sqrt(6) tan^(-1) ((sqrt(2) cosx)/sqrt(3))+c`

C

(c) `1/sqrt(15) tan^(-1) ((sqrt(5) tanx)/sqrt(3))+c`

D

(d) `-1/sqrt(15) tan^(-1) ((3tanx)/5) +c`

Text Solution

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The correct Answer is:
A
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