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JEE MAIN 2025
23-01-2025 SHIFT-1
Question
Let ${\rm{I}}(x) = \int {\frac{{dx}}{{{{(x - 11)}^{\frac{{11}}{{13}}}}{{(x + 15)}^{\frac{{15}}{{13}}}}}}} \cdot $. If ${\rm{I}}(37) - {\rm{I}}(24) = \frac{1}{4}\left( {\frac{1}{{\;{{\rm{b}}^{\frac{1}{{13}}}}}} - \frac{1}{{{{\rm{c}}^{\frac{1}{{13}}}}}}} \right),{\rm{b}},{\rm{c}} \in $, then $3(\;{\rm{b}} + {\rm{c}})$ is equal to
Select the correct option:
A
40
B
39
C
26
D
22
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Easy
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