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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Choose the correct alternative: If dfdai01ff(x) dx=1,∫01x f(x) dx=a, and da∫01x2f(x)dx=a2, then ad∫01(a-x)2f(x)dx is

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Question

Choose the correct alternative:

If `int_0^1 f(x)  "d"x = 1, int_0^1 x  f(x)  "d"x = "a"`, and `int_0^1 x^2 f(x)  "d"x = "a"^2`, then `int_0^1 ("a" - x)^2 f(x)  "d"x` is

Options

  • 4a2

  • 0

  • 2a2

  • 1

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Solution

0

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Chapter 2: Integral Calculus – 1 - Exercise 2.12 [Page 54]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 2 Integral Calculus – 1
Exercise 2.12 | Q 21 | Page 54
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