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KCET2007MathematicsDefinite Integration

If k ₀¹ x f(3 x) d x= ₀³ t f(t) d t , then the value of k is

Options

  1. A9
  2. B3
  3. C1 9
  4. D1 3

Correct answer

A. 9

Step-by-step solution

Given, when x=1, t=3 I=k ₀³ t 3 f(t) d t 3 Now, form Eq. (i), we get aligned k 9 ₀³ t f(t) d t &= ₀³ t f(t) k 9 =1 k=9 aligned

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