What is the solution to this simple integration issue?

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Discussion Overview

The discussion revolves around a participant's difficulty with a specific integration problem, particularly focusing on the change in the exponent of x during the integration process. The scope includes mathematical reasoning and clarification of integration rules.

Discussion Character

  • Homework-related, Mathematical reasoning, Conceptual clarification

Main Points Raised

  • One participant expresses confusion about a term in their integration problem and requests assistance.
  • Another participant questions whether the confusion is about the change in the exponent of x or basic arithmetic, suggesting that the participant may need to improve their arithmetic skills to understand calculus concepts.
  • A participant clarifies that the exponent of x did not change, but rather that it was the exponent itself that changed from -1/2 to 1/2, referencing a previous explanation.
  • There is a mention of a formula for integration, specifically for cases where n ≠ -1, which was previously discussed.
  • A participant acknowledges their lack of sleep, indicating a possible reason for their confusion.

Areas of Agreement / Disagreement

The discussion contains some agreement on the mathematical principles involved, but there is no consensus on the participant's understanding or the specific nature of their confusion.

Contextual Notes

Participants reference earlier discussions and explanations, indicating that some assumptions may be based on prior knowledge or context that is not fully articulated in this thread.

Superposed_Cat
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This is the only relevant term. I could do the rest but it seems that lower math has failed me here. any help appreciated.

each new line should begin with an equals sorry.
 

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What's your question? Is it that the exponent on x changed from -1/2 to 1/2 or are you unable to understand how ##\frac 1 6 * \frac 1 {1/2} = \frac 1 3##?

If it's the latter, ##\frac a b \cdot \frac c d = \frac{ac}{bc}##.

Have you checked out the khanacademy link that I gave yesterday? Until you get your arithmetic skills up to where they need to be, you won't be able to follow even the simplest calculus explanations.
 
how did x change from - 1/2 to 1/2.
 
x didn't change - its exponent changed from -1/2 to 1/2. This was explained in the thread you started yesterday.

##\int x^n dx = \frac{x^{n+1}}{n+1} + C## if n ≠ -1.
 
Sorry. I remember posting that thread now. Haven't slept in two days.
 

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