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

Thread starter cabellos
Start date Dec 1, 2006
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Integrate

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When integrating sin(xy) with respect to x, y is treated as a constant. The correct integral is -cos(xy) / y. This distinction is crucial for accurately solving the integral. The discussion emphasizes the importance of recognizing constants in integration. Understanding this concept is essential for proper calculus applications.

Dec 1, 2006

cabellos

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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Dec 1, 2006

arildno

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Neither. y is to be treated as a constant. And from that follows?

Dec 1, 2006

cabellos

ok....is it -cos(xy) / y

Dec 1, 2006

Kurdt

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yes that's correct.

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