Analyzing a Function Show that the function is constant for

Chapter 5, Problem 119

(choose chapter or problem)

Show that the function

\(f(x)=\int_{0}^{1 / x} \frac{1}{t^{2}+1} d t+\int_{0}^{x} \frac{1}{t^{2}+1} d t\)

is constant for \(x>0\).

Text Transcription:

f(x)=\int_0^1 / x \frac 1 t^2+1 d t+\int_0^x \frac 1 t^2+1 d t

x>0

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