How can I evaluate the following integral? $$\int_{-1}^{1}(|x|+x^{2017})e^{|x|})\,\mathrm dx$$
I found it's $$2\int_{0}^{1}(x+x^{2017})e^x\,\mathrm dx$$
What can I do next?
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http://mathworld.wolfram.com/IntegrationbyParts.html OR https://math.stackexchange.com/questions/46469/how-to-integrate-int-xn-ex-dx – lab bhattacharjee Jul 05 '17 at 10:08
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Hint. Revise your work by noting that $x^{2017}e^{|x|}$ is an odd function and $|x|e^{|x|}$ is an even function.
Robert Z
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