Integral(√tanx/sinxcosx) dx
 

Asked by rraj.15266 | 21st Nov, 2017, 09:39: AM

Expert Answer:

begin mathsize 16px style integral fraction numerator square root of tanx over denominator sinxcosx end fraction dx
integral fraction numerator begin display style square root of tanx end style over denominator begin display style sinx fraction numerator begin display style cos squared straight x end style over denominator cos begin display style straight x end style end fraction end style end fraction dx
integral fraction numerator square root of tanx over denominator tan begin display style begin display style xcos end style squared end style begin display style straight x end style begin display style space end style end fraction dx
integral fraction numerator 1 over denominator square root of tanx end fraction sec squared xdx
Put space tanx space equals space straight t space rightwards double arrow sec squared xdx equals dt
integral fraction numerator 1 over denominator square root of straight t end fraction dt
Now space integrate space further. end style

Answered by Sneha shidid | 30th Nov, 2017, 10:22: AM