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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: If 'edec∫f'(x)ex2dx=(x-1)ex2+c, thenf(x) is - Mathematics

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Question

Choose the correct alternative:

If `int f"'"(x)"e"^(x^2) "d"x = (x - 1)"e"^(x^2) + "c"`, then`f(x)` is

Options

  • `2x^3 - x^2/2 + x + "c"`

  • `x^3/2 + 3x^2 + 4x + "c"`

  • `x^3 + 4x^2 + 6x + "c"`

  • `(2x^3)/3 - x^2 + x + "c"`

MCQ
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Solution

`(2x^3)/3 - x^2 + x + "c"`

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Integrals of the Form
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Chapter 11: Integral Calculus - Exercise 11.13 [Page 225]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 11 Integral Calculus
Exercise 11.13 | Q 3 | Page 225
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