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Evaluate: inttan^4x dx...

Evaluate: `inttan^4x dx`

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Given,`∫tan^4xdx`
=`∫tan^2tan^2xdx`
=`∫(sec^2x−1)tan^2xdx`
=`∫(sec^2xtan^2x−tan^2x)dx`
=`∫[sec^2xtan^2x−(sec^2x−1)]dx`
=`∫(sec^2xtan^2x−sec^2x+1)dx`
=`∫sec^2xtan^2xdx−∫sec^2xdx+∫1dx`
Putting `tanx=t`
...
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