Answered: Use the upper bounds for moduli of…

Use the upper bounds for moduli of contour integrals to find an upper bound for the integral of ez/(z+2) dz over C, where C is the contour z(t) = 3eit and 0 ≤ t ≤ 2π.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.2: Integration By Parts

Problem 3E

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Question

Use the upper bounds for moduli of contour integrals to find an upper bound for the integral of e^z/(z+2) dz over C, where C is the contour z(t) = 3e^it and 0 ≤ t ≤ 2π.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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