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Evaluate: intsec^(-1)sqrt(x)\ dx...

Evaluate: `intsec^(-1)sqrt(x)\ dx`

Text Solution

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`I=\int \sec ^{-1} \sqrt{x} d x`
Let `t=\sqrt{x} \Rightarrow d t=\frac{1}{2 \sqrt{x}} d x \Rightarrow d x=2 t d t`
`=\int \sec ^{-1} t 2 t d t `
`=2 \int {tsec}^{-1} t d t` ...
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