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int (dx)/((4sin^(2)x+5cos^(2)x))=?...

`int (dx)/((4sin^(2)x+5cos^(2)x))=?`

A

(a) `1/sqrt(5)tan^(-1)((2tanx)/sqrt(5))+c`

B

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

C

(c) `1/(2sqrt(5))tan^(-1)((2tanx)/sqrt(5))+c`

D

(d) `1/(2sqrt(5))tan^(-1)(tanx/sqrt(5))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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