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Amazing Integral

I find this integral and I confuse with it. Anybody can help me?

\[\int _{ -\infty }^{ \infty }{ \frac { \sin { x } +{ e }^{ \cos { x } }-\ln { \sin { x } } +{ 2 }^{ x } }{ -3x+7\sqrt [ 3 ]{ x } +\tan ^{ 3 }{ x } } } \]

Note by Andy Leonardo
7 months ago

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Answer is undefined because you're essentially evaluating \(\displaystyle \int_{-\infty}^\infty \, dy \), which is undefined. Pi Han Goh · 7 months ago

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@Pi Han Goh is that a kind of improper integral? Andy Leonardo · 7 months ago

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@Andy Leonardo Yes. \(\quad\)\(\quad\)\(\quad\)\(\quad\) Pi Han Goh · 7 months ago

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