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Definite Integration question

2020 · 6 Sep · Shift 1 · Q24

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PYQ Library
JEE Main
Mathematics
Definite Integration
2020 · 6 Sep · Shift 1 · Q24

Definite Integration question

2020 · 6 Sep · Shift 1 · Q24

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

\mathop {\lim }\limits_{x \to 1} \left( {{{\int\limits_0^{{{\left( {x - 1} \right)}^2}} {t\cos \left( {{t^2}} \right)dt} } \over {\left( {x - 1} \right)\sin \left( {x - 1} \right)}}} \right)

A
is equal to 0
B
is equal to ${1 \over 2}$
C
does not exist
D
is equal to $- {1 \over 2}$

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