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If int(3tan(x-(pi)/(4)))/(cos^(2)xsqrt(tan^(3))+xtan^(2)x+tanx)=Ktan^(-1)(sqrt(tanx+1+cotx))+C, then the value of K is |
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Answer» 2 Put `tan x=t` `rArr""I=3int(1-(1)/(t^(2)))/((t+2+(1)/(t))sqrt(t+(1)/(t)+1))dt` `"Put"t+(1)/(t)+1=z^(2)` `rArr""I=3.2 tan^(-1)(sqrt(cosx+tanx+1))+C` `rArr""K=6` |
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