GATE CE 2022 Set 2 — Question 12
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Engineering Mathematics → Calculus → Definite & Indefinite Integrals
Last updated
Question
is equal to
- A.
- B.
- C.
- D.
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Correct answer
(MTA)
Solution
The series is the Taylor series expansion for for . The question asks for the integral:Using integration by parts, let and . Then and .None of the provided options match this result. However, if we assume the question intended to ask for the derivative of the series, then:This matches option (A). Given the options provided in this version of the paper, (A) is the most likely intended answer despite the typographical error in the operator (integral sign instead of derivative).
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