4. Evaluate the following improper integrals using Cauchy's Residue Theorem: (Convert them into a complex integral along a suitable contour first and solve accord- ingly). 5. (f) I dx. x6 +1 COS X x² + 1 dx.

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
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4. Evaluate the following improper integrals using Cauchy's Residue Theorem: (Convert
them into a complex integral along a suitable contour first and solve accord-
ingly).
(d) 5.
(f) fo
x²
x6 +1
COS X
x² + 1
dx.
dx.
Transcribed Image Text:4. Evaluate the following improper integrals using Cauchy's Residue Theorem: (Convert them into a complex integral along a suitable contour first and solve accord- ingly). (d) 5. (f) fo x² x6 +1 COS X x² + 1 dx. dx.
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