Indefinite Integral – A sum of exponential functions to the power of 2 – Exercise 1401

Exercise

Evaluate the integral

(ex+ex)2dx\int {(e^x+e^{-x})}^2 dx

Final Answer


(ex+ex)2dx=12e2x+2x12e2x+c\int {(e^x+e^{-x})}^2 dx=\frac{1}{2}e^{2x}+2x-\frac{1}{2}e^{-2x} +c

Solution

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