(Step-by-Step) a. Use the Fundamental Theorem of Calculus, part 1 to differentiate the function g(x)=∫_ tan x^2 x (1)/(√1+2 t^2) d t . DO NOT SIMPLIFY.
Question: a. Use the Fundamental Theorem of Calculus, part 1 to differentiate the function \(g(x)=\int_{\tan x}^{2 x} \frac{1}{\sqrt{1+2 t^{2}}} d t .\) DO NOT SIMPLIFY.
b. Use the Fundamental Theorem of Calculus, part 2 to evaluate the integral \(\int_{-2}^{3} \frac{1}{x} d x\), or explain why it does not exist.
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