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Definite Integration question

2022 · 25 Jun · Shift 2 · Q39

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 25 Jun · Shift 2 · Q39

Definite Integration question

2022 · 25 Jun · Shift 2 · Q39

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

The value of b > 3 for which

12\int\limits_3^b {{1 \over {({x^2} - 1)({x^2} - 4)}}dx = {{\log }_e}\left( {{{49} \over {40}}} \right)}

, is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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