How to Differentiate { sin 3xcos4x dx: Integration Question

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  • Thread starter Thread starter Sanosuke Sagara
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    Integration
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Discussion Overview

The discussion revolves around the differentiation of the integral of the function sin(3x)cos(4x) with respect to x. Participants explore the relationship between differentiation and integration, particularly in the context of the Fundamental Theorem of Calculus.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Homework-related

Main Points Raised

  • One participant asks about the need to use trigonometric functions in differentiating the integral of sin(3x)cos(4x).
  • Another participant clarifies that the question involves differentiating the integral of sin(3x)cos(4x) with respect to x and questions the connection between differentiation and integration.
  • A third participant references the Fundamental Theorem of Calculus in relation to the discussion.
  • One participant suggests multiplying and dividing by 2, though the context of this suggestion is unclear.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the relationship between differentiation and integration, and the discussion includes some confusion about the context of the question, indicating that multiple views remain unresolved.

Contextual Notes

The discussion does not clarify the assumptions behind the differentiation process or the specific application of the Fundamental Theorem of Calculus in this context.

Sanosuke Sagara
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I want to ask how to differentiate { sin 3xcos4x dx

Assume { as the integration simbol .Do I need to use the trigonometri function ?
 
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Lemme get it straight
U want to differentiate wrt "x" the following
[tex]\int \sin 3x \cos 4x \ dx[/tex]

What the connection between differentiation and integration...??

Daniel.
 
"Fundamental Theorem of Calculus"!

(Why is this in the differential equations section?)
 
multiply and divide by 2
 

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