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If the value of the definite integral 1∫−1cot−1(1√1−x2)⋅cot−1⎛⎜⎜⎝x√1−(x2)|x|⎞⎟⎟⎠dx=π2(√a−√b)√c, where a,b,c∈N in their lowest form, then the value of (a+b+c) is |
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Answer» If the value of the definite integral 1∫−1cot−1(1√1−x2)⋅cot−1⎛⎜ ⎜⎝x√1−(x2)|x|⎞⎟ ⎟⎠dx=π2(√a−√b)√c, where a,b,c∈N in their lowest form, then the value of (a+b+c) is |
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