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`int_(-1)^(1) (e^(|x|))/(1+a^(x))dx`A. `e`B. `2-e`C. `e-3`D. `e-1` |
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Answer» Correct Answer - D `I=int_(-1)^(1)(e^(|x|))/(1+a^(x))dx`……….. `I=int_(-1)^(1)(e^(|0-x|)/(1+a^(-x))dx` (by `int_(a)^(b)f(a+b-x)dx)` `I=int_(-1)^(1)(a^(x).e^(|x|))/(1+a^(x))dx`………(2) (1) `+` (2) `2I=int_(-1)^(1)e^(|x|)dx` `2I=2int_(0)^(1)e^(|x|)dx` `I=int_(0)^(1)dx=e-1` |
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