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Let [x] denote the largest interger not exceeding x and {x}=x-[x]. Then int_(0)^(2012) e^(cos (pi{x}))/(e^(cos (pi{x}))+e^(-cos(pi{x})))dx is equal to - |
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Answer» SOLUTION :`I=2012 underset(0)overset(1)(int) E^(cos pi x)/(e^(cos pi x)+e^(-cos pi x))dx` using king PROPERTY `I =2012 underset(0)overset(1)(int) e^(-cos pi x)/(e^(-cos pi x)+e^(cos pi x))dx rArr 2I=2012 rArr I=1006` |
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