Final answer to the problem
$-\frac{3}{2}x^2+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Take out the constant $-3$ from the integral
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$-3\int\frac{xe^x}{1+x}dx$
Learn how to solve 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).
Final answer to the problem
$-\frac{3}{2}x^2+C_0$
