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CBSE Class 12-science Answered

evaluate: Integration(3 cot x – 2 tanx)2 dx explain in great detail
Asked by haroonrashidgkp | 22 Sep, 2018, 04:19: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral open parentheses 3 cotx minus 2 tanx close parentheses squared dx
straight I equals integral open parentheses 9 cot squared straight x minus 12 cotxtanx plus 4 tan squared straight x close parentheses dx
straight I equals integral open square brackets 9 open parentheses cosec squared straight x minus 1 close parentheses minus 12 plus 4 open parentheses sec squared straight x minus 1 close parentheses close square brackets dx
straight I equals integral open parentheses 9 cosec squared straight x minus 9 minus 12 plus 4 sec squared straight x minus 4 close parentheses dx
straight I equals integral open parentheses 9 cosec squared straight x minus 25 plus 4 sec squared straight x close parentheses dx
straight I equals negative 9 cotx minus 25 straight x plus 4 tanx plus straight c end style
Answered by Sneha shidid | 25 Sep, 2018, 05:22: PM
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