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TS EAMCET · Maths · Definite Integration

Let \(f(x)\) be an even function with period 2 and \(f(x)\) be integrable on every interval. If \(g(x)=\int_0^x f(t) d t\), then \(g(x+2)=\)

  1. A \(g(x) g(2)\)
  2. B \(g(x)+g(2)\)
  3. C \(g(x)\)
  4. D \(g(2)\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(g(x)+g(2)\)

Step-by-step Solution

Detailed explanation

We have,…