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- Integrate by partial fractions
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Take out the constant $-3$ from the integral
Learn how to solve integrals of exponential functions problems step by step online.
$-3\int\frac{xe^x}{1+x}dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int((-3xe^x)/(1+x))dx. Take out the constant -3 from the integral. 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. Solve the product x\left(1+x+\frac{1}{2}x^{2}+\frac{1}{6}x^{3}\right).