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Indefinite Integrals question

2025 · 23 Jan · Shift 1 · Q39

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2025 · 23 Jan · Shift 1 · Q39

Indefinite Integrals question

2025 · 23 Jan · Shift 1 · Q39

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

Let

\mathrm{I}(x)=\int \frac{d x}{(x-11)^{\frac{11}{13}}(x+15)^{\frac{15}{13}}}

. If

\mathrm{I}(37)-\mathrm{I}(24)=\frac{1}{4}\left(\frac{1}{\mathrm{~b}^{\frac{1}{13}}}-\frac{1}{\mathrm{c}^{\frac{1}{13}}}\right), \mathrm{b}, \mathrm{c} \in \mathcal{N}

, then

3(\mathrm{~b}+\mathrm{c})

is equal to

A
39
B
22
C
40
D
26

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