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Evaluate: intsec^2(7-4x)\ dx...

Evaluate: `intsec^2(7-4x)\ dx`

Text Solution

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` int sec^(2) (7-4x) dx " " underset(rArr -4 dx= dt)(" Let " 7-4x=t)`
` = int sec^(2) t. (dt)/(-4) " " rArr dx= (dt)/(-4)`
` =-(1)/(4) tan t +c = (1)/(4) tan (7 -4x) +c`
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