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(a) Evaluate : inttan^(-1)((2x)/(1-x^(2)...

(a) Evaluate : `inttan^(-1)((2x)/(1-x^(2)))dx`.
(b) Suppose the chance of hitting a target by a person X is 3 times in 4 shots, by Y is 4 times in 5 shots, and by Z ius 2 times in 3 shots. They fire simultaneously exactly one time. What is the probability that the target is damaged by exactly 2 hits?

Text Solution

Verified by Experts

The correct Answer is:
`2xtab^(-1)x-2log|sqrt(1+x^(2))|+c`
(b) `(13)/(30)`
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