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\(\text { If } I(x)=\int \frac{d x}{(x-1)^{\frac{11}{13}}(x+15)^{\frac{15}{13}}} \text { and find } I \text {. }\) [Jee …

Q1

\(\text { If } I(x)=\int \frac{d x}{(x-1)^{\frac{11}{13}}(x+15)^{\frac{15}{13}}} \text { and find } I \text {. }\)

[Jee Main 2025]

a

\(\frac{13}{32}{\left(\frac{x+15}{x-1}\right)}^{-2/13}+C\)

b

\(\frac{13}{16}{\left(\frac{x+15}{x-1}\right)}^{2/13}+C\)

c

\(\frac{13}{16}{\left(\frac{x+15}{x-1}\right)}^{-2/13}+C\)

d

None of these

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