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Fill in the blanks in high school mathematics and college mathematics, online selection analysis, etc. ! ! ! Get the right answer!
Shenzhen Baoan Fuyong Family Education Center, specializing in high school mathematics, * * * casts everyone's development, Wang Fuyong answers (qq:
3784 00552, email: futurejack2003@ 163.com)
Solution: ∫ x/(1+x4) dx =1/2 ∫ dx2/(1+x4), and then let x 2 = u,
∴
The original formula =1/2 ∫ dx2/(1+x4) =1/2 ∫ du/(1+U2) =1/2arctanu+.
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