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State whether the following is True or False : ∫abf(x)⋅dx=∫abf(x-a-b)⋅dx - Mathematics and Statistics

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Question

State whether the following is True or False : `int_"a"^"b" f(x)*dx = int_"a"^"b" f(x - "a" - "b")*dx`

Options

  • True

  • False

MCQ
True or False

Solution

`int_"a"^"b" f(x)*dx = int_"a"^"b" f("a" + "b" - x)*dx` False.

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Fundamental Theorem of Integral Calculus
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Chapter 6: Definite Integration - MISCELLANEOUS EXERCISE - 6 [Page 149]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 6 Definite Integration
MISCELLANEOUS EXERCISE - 6 | Q III) 4) | Page 149
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