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Calculus/Integration by parts

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Question
How to integrate (x^2 -5)*(e^x)?

Answer
Questioner: Gwen
Country: United States
Category: Calculus
Private: No
Subject: Integration-calculus
Question: How to integrate (x^2 -5)*(e^x)?

Multiply out:

x^2 e^x - 5e^x

The second term is routine, and for

x^2 e^x

use integration by parts (twice).  Then put it together.

THE INTEGRATOR, at:

http://integrals.wolfram.com/index.jsp

gives a form of the answer, for checking.

Calculus

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Paul Klarreich

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All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

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I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.

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