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

• ✓
  $\int\limits_{x + 5}^5 {g\left( t \right)dt} $
• B
  $2\int\limits_{5}^{x - 5} {g\left( t \right)dt} $
• C
  $\int\limits_{5}^{x + 5} {g\left( t \right)dt} $
• D
  $5\int\limits_{x + 5}^5 {g\left( t \right)dt} $