Integrate 1/(2x+2x^2): Step-by-Step Guide

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Homework Help Overview

The problem involves integrating the function 1/(2x + 2x^2), which falls under the subject area of calculus, specifically integration techniques.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to factor the denominator and considers using integration by parts, expressing uncertainty about the correct method. Some participants suggest using partial fractions instead of integration by parts.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to the integration problem. Guidance has been offered regarding the use of partial fractions, and the original poster is encouraged to try this method.

Contextual Notes

The original poster expresses a lack of confidence in their integration skills and mentions feeling embarrassed about their uncertainty. There is an indication of confusion regarding the appropriate technique to apply.

fredrick08
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Homework Statement


int(1/(2x+2x^2))dx


The Attempt at a Solution


can someone help me where to start with this one i know its not hard, but i can't find out what to factorize then do parts??

ive forgotten this simple integration stuff, do i make it 1/2x(x+1) then integrate by parts?? anyways the answer is -(1/2)ln(x+1)+(1/2)ln(x) i have to use parts don't i, or can i separate some how??
 
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Since you've factorized the denominator, seems like you should integrate by partial fractions, not by parts.
 
ah ok ty, let me try
 
lol ty for pointing how stupid i can be sometimes... quite embarrassing lol
 

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