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Definite Integration question

2024 · 30 Jan · Shift 2 · Q31

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PYQ Library
JEE Main
Mathematics
Definite Integration
2024 · 30 Jan · Shift 2 · Q31

Definite Integration question

2024 · 30 Jan · Shift 2 · Q31

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

f: \mathbb{R} \rightarrow \mathbb{R}

be a function defined by

f(x)=\frac{x}{\left(1+x^4\right)^{1 / 4}}

, and

g(x)=f(f(f(f(x))))

. Then,

18 \int_0^{\sqrt{2 \sqrt{5}}} x^2 g(x) d x

is equal to

A
36
B
33
C
39
D
42

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