Let \(f\left( x \right) = \mathop \smallint \nolimits_0^x g\left( t \right)dt\), where g is a non-zero even function. If f(x + 5) = g(x), then \(\mathop \smallint \nolimits_0^x f\left( t \right)dt\) equals:

\(\mathop \smallint \nolimits_5^{x + 5} g\left( t \right)dt\)

\(\mathop \smallint \nolimits_{x + 5}^5 g\left( t \right)dt\)

\(2\mathop \smallint \nolimits_5^{x + 5} g\left( t \right)dt\)

\(5\mathop \smallint \nolimits_{x + 5}^5 g\left( t \right)dt\)

Let \(f\left( x \right) = \mathop \smallint \nolimits_0^x g\left( t \r

1.	Let \(f\left( x \right) = \mathop \smallint \nolimits_0^x g\left( t \right)dt\), where g is a non-zero even function. If f(x + 5) = g(x), then \(\mathop \smallint \nolimits_0^x f\left( t \right)dt\) equals:
A.	\(\mathop \smallint \nolimits_{x + 5}^5 g\left( t \right)dt\)
B.	\(\mathop \smallint \nolimits_5^{x + 5} g\left( t \right)dt\)
C.	\(2\mathop \smallint \nolimits_5^{x + 5} g\left( t \right)dt\)
D.	\(5\mathop \smallint \nolimits_{x + 5}^5 g\left( t \right)dt\)
Answer» B. \(\mathop \smallint \nolimits_5^{x + 5} g\left( t \right)dt\)

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Let \(f\left( x \right) = \mathop \smallint \nolimits_0^x g\left( t \right)dt\), where g is a non-zero even function. If f(x + 5) = g(x), then \(\mathop \smallint \nolimits_0^x f\left( t \right)dt\) equals:

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