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The value of `[int_(-pi)^(pi) sqrt((|sinx|)/(1+tan^(2)x))dx]` is (where [.] is greates integer). |
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Answer» Correct Answer - 2 `I=int_(-pi)^(pi) sqrt((|sinx|)/(1+tan^(2)x))dx` `I=2int_(-(pi)/2)^((pi)/2)sqrt((sinx)/(1+cot^(2)x))dx` `4 int_(0)^((pi)/2) sqrt(cosx) sin x dx` `=8/3` `[I]=2` |
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