JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

h\left( a \right) = h\left( b \right)

, the value of the integral

\int \limits_a^b \,\,{\left[ {f\,\,\left( {g\;\left( {h\,\,\left( x \right)\,} \right)\,} \right)} \right]^{ - 1}}\,\,f'\,\,\left( {\,g\,\,\left( {h\,\,\left( x \right)\,} \right)\,} \right)\,\,g'\,\,\left( {h\,\left( x \right)\,} \right)\,\,h'\,\,\left( x \right)\,\,dx

is equal to

View answer and explanation

Correct option: A

\mathrm{0}

Option A (

\mathrm{0}

) is correct because the limits of integration become equal, making the integral zero.

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