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The value of the integral int( cos x)/( ...

The value of the integral `int( cos x)/( sin x + cos x) dx` is equal to a)`x + log | sin x + cos x| + C` b)`(1)/(2) [ x + log | sin x + cos x|] +C` c)`log | sin x+ cos x | +C` d)`(x)/(2) + log | sin x + cos x | + C`

A

`x + log | sin x + cos x| + C`

B

`(1)/(2) [ x + log | sin x + cos x|] +C`

C

`log | sin x+ cos x | +C`

D

`(x)/(2) + log | sin x + cos x | + C`

Text Solution

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The correct Answer is:
B
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