Mathematics · 2019
JEE Main · 8 April 2019, Shift 2 · Q75
Let f(x)=∫_0^x g( t ) dt, where g is a non-zero even function. If f(x+5)=g(x), then ∫_0^x f( t ) dt equals:
Let $\displaystyle f(x)=\int_0^x g(\mathrm{t}) \mathrm{dt}$, where g is a non-zero even function. If $\displaystyle f(x+5)=g(x)$, then $\displaystyle \int_0^x f(\mathrm{t}) \mathrm{dt}$ equals :
Official answer
(1)
$\displaystyle \int_{x+5}^5 g(t) d t$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.