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Evaluate : int " cos"^(-1) .(1)/(x) dx...

Evaluate : `int " cos"^(-1) .(1)/(x) dx`

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`int " cos"^(-1)(1)/(x) dx`
`=int" sec"^(-1) x. dx =int " sec"^(-1)x. 1dx`
`=sec^(-1) x. int1dx =int{(d)/(dx) sec^(-1) x. int1dx } dx`
`"(Tanking" sec^(-1) " x as 1st functions "`
` = x sec^(-1) x - int (1)/(xsqrt(x^(2)-1)). x dx`
`= x sec^(-1) x - int (1)/(sqrt(x^(2)-1)^(2)) dx `
`= x sec^(-1) x - log |x + sqrt( x^(2) -1) |+C`
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