MHB Solving u Substitution Problem: Tim's Question

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Tim is working on a u substitution problem where he defines u as 3-x and derives du as (-1) dx. The discussion confirms that his algebraic manipulations are correct and emphasizes the importance of adhering to algebraic rules when transitioning to calculus. It reiterates that calculus builds upon algebra rather than replacing it. Tim acknowledges his understanding after the clarification. This highlights the foundational role of algebra in solving calculus problems.
tmt1
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Hi, I'm working on a u substitution problem so that.

u = 3-x

so that

du = (-1) dx ,

or

(-1) du = dx .

With these equations you just switch content from one side to the other with no problems?

Thanks,

Tim
 
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The manipulations you've done there are all fine. You just need to obey the rules of algebra. Algebra doesn't go away when you start studying calculus - indeed, calculus packs down your algebra!
 
Ackbach said:
The manipulations you've done there are all fine. You just need to obey the rules of algebra. Algebra doesn't go away when you start studying calculus - indeed, calculus packs down your algebra!

Yop, I see it now.