🛠️ JEE➗ Maths

\(\text{ Let }f(x)=\int \frac{dx}{{x}^{1/4}\left({x}^{1/4}+1\right)}\text{. If }f(0)=-6\text{, then }f(2)\text{ is }\) […

Q1

\(\text{ Let }f(x)=\int \frac{dx}{{x}^{1/4}\left({x}^{1/4}+1\right)}\text{. If }f(0)=-6\text{, then }f(2)\text{ is }\)

[Jee Main 2025]

a

\(4\left[\frac{1}{\sqrt{2}}-{2}^{1/4}+\ln \left|1+{2}^{1/4}\right|\right]-6\)

b

\(4\left[\frac{1}{\sqrt{2}}-{2}^{1/4}+\ln \left|1+{2}^{1/4}\right|\right]+6\)

c

\(4\left[\frac{1}{\sqrt{2}}+{2}^{1/3}+\ln \left|{2}^{1/4}\right|\right]-6\)

d

\(4\left[3+{2}^{1/3}-\ln {2}^{1/4}\right]+6\)

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