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Evaluate: (i) inttan^3xsec^2x\ dx (ii) i...

Evaluate: (i) `inttan^3xsec^2x\ dx` (ii) `int((logx)^3)/x\ dx`

Text Solution

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(i) Suppose `I =int tan ^{3} x sec ^{2} x d x`
Suppose `tan x=t`, now
`sec ^{2} x d x=d t`
On substituting the value of `x`
`I=int t^{3} d t`
On integrating
`I=t^{4} / 4+c`
...
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