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Definite Integration question

2019 · 8 Apr · Shift 2 · Q28

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PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 8 Apr · Shift 2 · Q28

Definite Integration question

2019 · 8 Apr · Shift 2 · Q28

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

f(x) = \int\limits_0^x {g(t)dt}

where g is a non-zero even function. If ƒ(x + 5) = g(x), then

\int\limits_0^x {f(t)dt}

equals-

A
5 $\int\limits_{x + 5}^5 {g(t)dt}$
B
$\int\limits_{x + 5}^5 {g(t)dt}$
C
$\int\limits_{5}^{x+5} {g(t)dt}$
D
2 $\int\limits_{5}^{x+5} {g(t)dt}$

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