∫x 2 e 3x dx is:

CA Foundation · Quantitative Aptitude · MTP · September 2024
∫x 2 e 3x dx is:
(A) A. x 2 .e 3x -2xe 3x +2e 3x +C
(B) B. e 3x / 3 - x.e 3x / 9 + 2e 3x + C
(C) C. x 2 .e 3x / 3 - 2x.e 3x / 9 + 2 / 27 e 3x + C
(D) D. None of these

Suggested Answer and Working Notes:

Correct Answer: Option (C)

C. x 2 .e 3x / 3 - 2x.e 3x / 9 + 2 / 27 e 3x + C

Topics: Part-A: Business Mathematics

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