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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: If tdtttdt∫0xf(t) dt=x+∫x1tf(t) dt, then the value of f(1) is - Mathematics

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Question

Choose the correct alternative:

If `int_0^x f("t")  "dt" = x + int_x^1 "t" f("t")  "dt"`, then the value of `f(1)` is

Options

  • `1/2`

  • 2

  • 1

  • `3/4`

MCQ

Solution

`1/2`

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Improper Integrals
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Chapter 9: Applications of Integration - Exercise 9.10 [Page 141]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 9 Applications of Integration
Exercise 9.10 | Q 20 | Page 141
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