If $\left| {\int_a^b f (x)dx} \right| = \int_a^b | f(x)|dx,\,\,a < b,$ then $f(x)=0$ has

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

\left| {\int_a^b f (x)dx} \right| = \int_a^b | f(x)|dx,\,\,a < b,

then

f(x)=0

has

View answer and explanation

Correct option: C

no root in

(a, b)

Option C (no root in

(a, b)

) is correct because the equality holds only if f(x) does not change sign in the interval (a, b).

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