Write sin2x as 2sinxcosx,take cos^4x common from the denominator,We'll get the integrand as ∫2tanxsec2x/(1+tan4x) now put tanx=t
==>∫ 2tdt/(1+t4) ,put t2=u,Now it will be simple to solve
6 Answers
krish1092
·Dec 26 '08 at 19:22
skygirl
·Dec 26 '08 at 19:49
that ncert miscellaneous exercise is really worth doing.... atleast i felt so...
greatvishal swami
·Dec 26 '08 at 20:13
yes skygirl & it was the only chapter which i felt like doing frm ncert
Hari Shankar
·Dec 26 '08 at 21:55
or cos4x + sin4x = (cos2x+sin2x)2 - 2 sin2x cos2x
= 1 - sin22x/2 = (1+cos22x)/2
Now put cos 2x = t and integrate