Question

The value of the integeral \(\int_{-1}^{1}\left\{\frac{x^{2015}}{e^{|x|}\left(x^{2}+\cos x\right)}+\frac{1}{e^{|x|}}\right\} d x\) is equal to
(A) 0
(B) \(1-e^{-1}\)
(C) \(2 \mathrm{e}^{-1}\)
(D) \(2\left(1-\mathrm{e}^{-1}\right)\)

Answer 1

Ans(D)

Hint \(: \Rightarrow \int_{-1}^{1}\left(\operatorname{odd}+\frac{1}{e^{|x|}}\right) d x\)
$$
=0+2 \int_{0}^{1} \frac{d x}{e^{x}}=2\left(1-e^{-1}\right)
$$

Answer 2

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Answer 3

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