Answers

  • Brainly User
2015-10-20T16:42:34+05:30
∫tan-x
∫sin-x/cos-x  
let  t=tan-x
dt=(1/1+x²  )dx
dx ki value ninkal 
dx=dt(1+x²)
dy=x
∫tan-x=xtan-x  - (x/1+x²) multiply and divide by 2
∫tan-x={xtan-x  -1/2(2x/1+x²)}dx
let 1+x²=t
2xdx=dt
dx=dt/2x
xtan-x-1/2(2x/t2x  dt
xtan-x-1/2(1 /t)dt
xtanx-1/2logt
xtan-x-1/2log(1+x²)
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