Definite Integration

JEE Main 2021 · 27 Jul, Evening shift · Q3312

MathematicsEasy210×since 2002Q3312

Let f : (a, b)

\to

R be twice differentiable function such that

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

for a differentiable function g(x). If f(x) = 0 has exactly five distinct roots in (a, b), then g(x)g'(x) = 0 has at least :

JEE Main 2021 · 27 Jul, Evening shift · Q3312

MathematicsEasy210×since 2002Q3312

Let f : (a, b)

\to

R be twice differentiable function such that

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

for a differentiable function g(x). If f(x) = 0 has exactly five distinct roots in (a, b), then g(x)g'(x) = 0 has at least :

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