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Question 1: Evaluate the integral: [ int (2x^2 - 3x + 5) , dx ] Question 2: Determine the convergence or divergence of the improper

Question 1: 

Evaluate the integral:

\[ \int (2x^2 - 3x + 5) \, dx \]



Question 2: 

Determine the convergence or divergence of the improper integral:

\[ \int_1^\infty \frac{1}{x^2} \, dx \]



Question 3: 

Find the Taylor series expansion of the function \( f(x) = e^x \) centered at \( a = 0 \).



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