Question

Please mark true statements for type II improper integral:

Please mark true statements for type II improper integral A) Type Il improper integrals are the ones with explosive integrand at endpoints of integration interval. If explosion happens in the middle of interval, that can be treated as proper integral and FTC (fundamental theorem) will deliver correct results B) Even though with type II improper integrals intagrand explodes to inifnity, it sill covers finite area, since this is only happening at a single point C) Type Il improper integrals are the ones where integrand may become inifnite on part of the integration interval D) When viewing type II improper integrals as proper integrals within the limit, it is important to be conscious of the one directional nature of that limit. E) If explosion happens in the middle of integration interval, integral needs to be split exactly across that point, split can not be arbitrary

Answer 1

since f(x) is bounded over the interval so it must be bounded over the interval so option c is incorrect.

Date Saathi T b 8auch 077 imptiabes least -etegoial ef t and b at limit of autegaabsn bust he boundedaves a tfte

Since f(x) is bounded on interval so area is bounded so b is correct.

Option e is correct as we can spilt the Integration

D is correct

A is correct

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