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Indefinite Integrals question

2023 · 12 Apr · Shift 1 · Q43

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2023 · 12 Apr · Shift 1 · Q43

Indefinite Integrals question

2023 · 12 Apr · Shift 1 · Q43

JEE MainMathematicsIndefinite IntegralsNumerical+4 / −1

Let

I(x)=\int \sqrt{\frac{x+7}{x}} \mathrm{~d} x

and

I(9)=12+7 \log _{e} 7

. If

I(1)=\alpha+7 \log _{e}(1+2 \sqrt{2})

, then

\alpha^{4}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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