Mathematics

Mathematics

Problem

Which of the following improper integrals represents a region of finite area in the xyxy-plane? a) ∫−111x2 dx\displaystyle \int_{-1}^{1}\frac{1}{x^{2}}\,dx b) ∫1∞1x dx\displaystyle \int_{1}^{\infty}\frac{1}{x}\,dx c) ∫0∞e−x dx\displaystyle \int_{0}^{\infty}e^{-x}\,dx d) ∫1∞1x dx\displaystyle \int_{1}^{\infty}\frac{1}{\sqrt{x}}\,dx

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