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∫₀¹ xⁿsin (x) dx (A) Does not exist (B) Is necessarily greater than 1 (C) Is greater than 1/(n+1) (D) Is less than 1/(n+1)
Also written as: integral_0^1 x^nsin (x) dx
Integration and its applications has come up 43 times in 6 exams since 2007.
This question is on Indefinite and definite integrals, part of Integration and its applications in Mathematics.
Antiderivatives and areas under curves for standard functions.
TestStop has 21 past-paper questions on this subtopic.
Question from the DSE 2012 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.