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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: ed∫x2ex2 dx is - Mathematics

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Question

Choose the correct alternative:

`int x^2 "e"^(x/2)  "d"x` is

Options

  • `x^2 "e"^(x/2) - 4x"e"^(x/2) - 8"e"^(x/2) + "c"`

  • `2x^2 "e"^(x/2) - 8x"e"^(x/2) - 16"e"^(x/2) + "c"`

  • `2x^2 "e"^(x/2) - 8x"e"^(x/2) + 16"e"^(x/2) + "c"`

  • `x^2 "e"^(x/2)/2 - (x"e"^(x/2))/4 + "e"^(x/2)/8 + "c"`

MCQ

Solution

`2x^2 "e"^(x/2) - 8x"e"^(x/2) + 16"e"^(x/2) + "c"`

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Chapter 11: Integral Calculus - Exercise 11.13 [Page 227]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 11 Integral Calculus
Exercise 11.13 | Q 21 | Page 227
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