JEE PYQ: Definite Integration Question 37
Question 37 - 2019 (08 Apr Shift 2)
Let $f(x) = \int_0^x g(t),dt$, where $g$ is a non-zero even function. If $f(x + 5) = g(x)$, then $\int_0^5 f(t),dt$ equals:
(1) $\int_{x+5}^5 g(t),dt$
(2) $\int_5^{x+5} g(t),dt$
(3) $2\int_5^{x+5} g(t),dt$
(4) $5\int_{x+5}^5 g(t),dt$