1.

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

Answer»

2
3
6
8

Solution :`I=int(3(tanx-1)SEC^(2)x)/((tanx+1)sqrt(tan^(2)x+tan^(2)x+tanx))dx`
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`


Discussion

No Comment Found

Related InterviewSolutions