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JEE Math Practice Question

Let $$f(x) = \int\limits_0^x {g(t)dt} $$ where g is a non-zero even function. If ƒ(x + 5) = g(x), then $$ \int\limits_0^x {f(t)dt} $$ equals-

  1. A.5$$\int\limits_{x + 5}^5 {g(t)dt} $$
  2. B.$$\int\limits_{x + 5}^5 {g(t)dt} $$
  3. C.$$\int\limits_{5}^{x+5} {g(t)dt} $$
  4. D.2$$\int\limits_{5}^{x+5} {g(t)dt} $$

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