evaluate interigation of tan -1 x
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∫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)
∫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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