Let f(x) = ∫₀ˣ g(t)dt where g is a non-zero even function. If ƒ(x + 5) = g(x), then ∫₀ˣ f(t)dt equals-

Integral Calculus: JEE Main 2019 Mathematics question

JEE Main 2019 · 8 Apr, Evening shift · Q3362

JEE Main 20198 Apr, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

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-

JEE Main 2019 · 8 Apr, Evening shift · Q3362

JEE Main 20198 Apr, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

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-