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Indefinite Integrals question

2025 · 28 Jan · Shift 2 · Q41

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JEE Main
Mathematics
Indefinite Integrals
2025 · 28 Jan · Shift 2 · Q41

Indefinite Integrals question

2025 · 28 Jan · Shift 2 · Q41

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

If

f(x)=\int \frac{1}{x^{1 / 4}\left(1+x^{1 / 4}\right)} \mathrm{d} x, f(0)=-6

, then

f(1)

is equal to :

A
$4\left(\log _{\mathrm{e}} 2-2\right)$
B
$\log _{e^2} 2+2$
C
$2-\log \mathrm{e}^2$
D
$4\left(\log _e 2+2\right)$

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