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int(dx)/(sinx+cosx) is equal to...

`int(dx)/(sinx+cosx)` is equal to

A

`log tan(pi//4)+x//8)+C`

B

`sqrt(2) log tan (x//2+pi//8)+C`

C

`(1)/(sqrt(2))log |tan((x)/(2)+(pi)/(8))|+C`

D

`sqrt(2)log tan ((x)/(4)-(pi)/(8))+ C`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-SOLVED EXAMPLE ( LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTION ))
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