🛠️ JEE➗ Maths

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: [JEE Main…

Q1

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:

[JEE Main 2025, 28 Jan (Shift 2)]

a

\(\log _e 2+2\)

b

\(4\left(\log _{e}2-2\right)\)

c

\(4\left(\log _{\mathrm{e}} 2+2\right)\)

d

\(2-\log _{e} 2\)

🔒

Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149

← Previous question Next question →

Practice more JEE Maths PYQs

See every question on Indefinite Integration, or browse the full JEE question bank.

See all questions on Indefinite Integration →