JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

Suppose

f

is such that

f\left( { - x} \right) = - f\left( x \right)

for every real

x

and

\int\limits_{0}^1 {f\left( x \right)dx = 5}

, then

\int\limits_{{ - 1}}^0 {f\left( t \right)dt = }

View answer and explanation

Correct option: D

-5

Option D (-5) is correct because the integral of an odd function from -1 to 0 is the negative of the integral from 0 to 1, given that

\int_0^1 f(x) dx = 5

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