. (a) If u is a complex-valued function of a real variable, its indefinite integral y

Chapter 0, Problem 50

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. (a) If u is a complex-valued function of a real variable, its indefinite integral y usxd dx is an antiderivative of u. Evaluate y es11i dx dx (b) By considering the real and imaginary parts of the integral in part (a), evaluate the real integrals y ex cos x dx and y ex sin x dx (c) Compare with the method used in Example 7.1.4.

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