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CBSE Class 12-science Answered

evaluate: Integration tanx/(sec x + tan x) dx explain in great detail
Asked by haroonrashidgkp | 22 Sep, 2018, 04:17: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator tanx over denominator secx plus tanx end fraction dx
straight I equals integral fraction numerator tanx left parenthesis secx plus tanx right parenthesis over denominator left parenthesis secx plus tanx right parenthesis left parenthesis secx minus tanx right parenthesis end fraction dx
straight I equals integral fraction numerator tanxsecx plus tan squared straight x over denominator sec squared straight x minus tan squared straight x end fraction dx
straight I equals integral open parentheses tanxsecx plus tan squared straight x close parentheses dx space space space space space space space space space space space space space space space space space space space space sec squared straight x minus tan squared straight x equals 1
straight I equals integral left parenthesis tanxsecx plus sec squared straight x minus 1 right parenthesis dx
straight I equals secx plus tanx minus straight x plus straight c end style
Answered by Sneha shidid | 25 Sep, 2018, 11:03: AM
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