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Can i know the answer of ques no. 16 bcoz i am little bit confuse in this question
16) I=tan^-1secx+tanx)dxsecx+tanx=1+sinx/cosx 1+sinx=(sinx/2+cosx/2)^2 cosx=(cosx/2-sinx/2)(cosx/2+sinx/2) I=tan^-1(sinx/2+cosx/2)/(cosx/2-sinx/2)dx =tan^-(tanpi/4+x/2)dx =(pi/4+x/2)dx =(pi/4)x + x^2/4 +k
16)
I=tan^-1secx+tanx)dx
secx+tanx=1+sinx/cosx
1+sinx=(sinx/2+cosx/2)^2
cosx=(cosx/2-sinx/2)(cosx/2+sinx/2)
I=tan^-1(sinx/2+cosx/2)/(cosx/2-sinx/2)dx
=tan^-(tanpi/4+x/2)dx
=(pi/4+x/2)dx =(pi/4)x + x^2/4 +k
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