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`I = int(dx)/(e^(x) + 4.e^(-x)) dx =`A. log `(e^(x) + 4.e^(x)) + c `B. log `(e^(2x) + 4) + cC. `(1)/(2) tan^(-1)((e^(x))/(2)) + c `D. None of these |
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Answer» Correct Answer - C `I = int (dx)/(e^(x) + 4.e^(-x))` `implies I = int (e^(x))/((e^(x))^(2) + (2)^(2)) dx " " Put e^(x) = t` `implies I = int (dt)/(t^(2) + 2^(2)) = (1)/(2) . tan^(-1) ((t)/(2))` |
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