COMEDK · Maths · 30. Definite Integration
If \(k \int_{0}^{1} x \cdot f(3 x) d x=\int_{0}^{3} t \cdot f(t) d t\), then the value of \(k\) is
- A 3
- B 9
- C \(1 / 3\)
- D \(1 / 9\)
Answer & Solution
Correct Answer
(B) 9
Step-by-step Solution
Detailed explanation
Let \(I=\int_{0}^{3} t f(t)\) Put \(t=3 x \Rightarrow d t=3 d x\) When \(t=0 \Rightarrow x=0\) and \(t=3 \Rightarrow x=1\)…
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