Is the Integral of sin(xy) with Respect to x Equal to -cos(xy) or -cos(x)?

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Homework Help Overview

The discussion revolves around the integration of the function sin(xy) with respect to the variable x, specifically questioning whether the integral results in -cos(xy) or -cos(x).

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the treatment of the variable y during integration and question the correct form of the integral.

Discussion Status

The conversation has progressed with some participants confirming the treatment of y as a constant and suggesting the correct form of the integral, indicating a productive exchange of ideas.

Contextual Notes

There is an emphasis on understanding the role of y in the integration process, which is treated as a constant in this context.

cabellos
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I just need a check on when integrating sin(xy) with respect to x? Does this become -cos(xy) or -cos(x)

thanks
 
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Neither. y is to be treated as a constant. And from that follows?
 
ok....is it -cos(xy) / y
 
yes that's correct.
 

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