Critique the following proof that an arbitrary constantmust be zero:0 =x dxx dx=(x x) dx

Chapter 5, Problem 66

(choose chapter or problem)

Critique the following “proof” that an arbitrary constant must be zero:

$0=\left(\int x d x\right)-\left(\int x d x\right)=\int(x-x) d x=\int 0 d x=C$

Equation Transcription:

$0=($ ∫ $x\ dx)-($ ∫ $x\ dx)=$ ∫ $(x-x)\ dx=$ ∫ $0\ dx=C$

Text Transcription:

0=(integral x dx)-(integral x dx)=integral (x-x) dx=integral 0 dx = C

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