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int(1+cosalphacos x)/(cosalpha+cosx)dx=...

`int(1+cosalphacos x)/(cosalpha+cosx)dx=`

A

`xcosalpha-sinalpha log|(cot((alpha)/(2))+tan((x)/(2)))/(cot((alpha)/(2))-tan((x)/(2)))|+c`

B

`xcosalpha+sinalpha log|(cot((alpha)/(2))+tan((x)/(2)))/(cot((alpha)/(2))-tan((x)/(2)))|+c`

C

`xcosalpha-sinalpha log|(tan((x)/(2))+tan((alpha)/(2)))/(tan((x)/(2))-tan((alpha)/(2)))|+c`

D

`xcosalpha+sinalpha log|(tan((x)/(2))+tan((alpha)/(2)))/(tan((x)/(2))-tan((alpha)/(2)))|+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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