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Definite Integration question

2025 · 3 Apr · Shift 1 · Q33

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PYQ Library
JEE Main
Mathematics
Definite Integration
2025 · 3 Apr · Shift 1 · Q33

Definite Integration question

2025 · 3 Apr · Shift 1 · Q33

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let the domain of the function

f(x)=\log _2 \log _4 \log _6\left(3+4 x-x^2\right)

be

(a, b)

. If

\int_0^{b-a}\left[x^2\right] d x=p-\sqrt{q}-\sqrt{r}, p, q, r \in \mathbb{N}, \operatorname{gcd}(p, q, r)=1

, where

[\cdot]

is the greatest integer function, then

p+q+r

is equal to

A
10
B
11
C
9
D
8

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