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Learn how to solve problems step by step online. Find the integral int((sin(x)^2)/(e^(-x)))dx. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Multiply -1 times -1. Use the Taylor series for rewrite the function e^x as an approximation: \displaystyle f(x)=\sum_{n=0}^{\infty}\frac{f^{(n)}(a)}{n!}(x-a)^n, with a=0. Here we will use only the first four terms of the serie to approximate the function. Any expression divided by one (1) is equal to that same expression.