Let f(x)=∫₀ˣ g(t)dt, where g is a non-zero... | Definite Integrals

JEE MAIN 2019

08-04-2019 S2

Question

Let $f(x)=\int_0^x g(t) d t$, where $g$ is a non-zero even function. If $f(x+5)=g(x)$, then $\int_0^x f(t) d t$, equals:

Select the correct option:

$\int_{x+5}^5 g(t) d t$

$2 \int_5^{x+5} g(t) d t$

$\int_5^{x+5} g(t) d t$

$5 \int_{x+5}^5 g(t) d t$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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