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CBSE Class 12-science Answered

evaluate  Integration cos(x + a)/sin(x + b) dx explain in great detail
Asked by haroonrashidgkp | 22 Sep, 2018, 11:41: PM
answered-by-expert Expert Answer
begin mathsize 18px style straight I equals integral fraction numerator cos open parentheses straight x plus straight a close parentheses over denominator sin open parentheses straight x plus straight b close parentheses end fraction dx
equals integral fraction numerator begin display style cos open parentheses straight x plus straight b plus straight a minus straight b close parentheses end style over denominator begin display style sin open parentheses straight x plus straight b close parentheses end style end fraction dx
equals integral fraction numerator begin display style cos open parentheses straight x plus straight b close parentheses cos open parentheses straight a minus straight b close parentheses minus sin open parentheses straight x plus straight b close parentheses space sin open parentheses straight a minus straight b close parentheses end style over denominator begin display style sin open parentheses straight x plus straight b close parentheses end style end fraction dx
equals cos open parentheses straight a minus straight b close parentheses integral fraction numerator begin display style cos open parentheses straight x plus straight b close parentheses end style over denominator begin display style sin open parentheses straight x plus straight b close parentheses end style end fraction dx minus integral sin open parentheses straight a minus straight b close parentheses dx
equals cos open parentheses straight a minus straight b close parentheses. ln open parentheses cosec open parentheses straight x plus straight b close parentheses close parentheses minus straight x. sin open parentheses straight a minus straight b close parentheses plus straight c end style
Answered by Arun | 24 Sep, 2018, 11:01: AM
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