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Q67Section C (Part C)67 of 120

Improper integrals — when convergence forces the integrand to vanish

Let F\mathcal{F} be the set of all functions f:[0,∞)→[0,∞)f:[0,\infty)\to[0,\infty) that are Riemann integrable on [0,t][0,t] for all t∈[0,∞)t\in[0,\infty). Which of the following statements are necessarily true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.