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Definite Integration · 2025 · 29 Jan · Shift 2

3 Mathematics questions from this JEE Main paper

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2025 · 29 Jan · Shift 2
Mathematics
Definite Integration

Definite Integration · 2025 · 29 Jan · Shift 2

3 Mathematics questions from this JEE Main paper

Q41.Let $f (x) = 0 \int x t (t^{2} - 9 t + 20) dt, 1 \leq x \leq 5$ . If the range of $f$ is $[α, β]$ , then $4 (α + β)$ equals :
Mathematics · Definite Integration · MCQ
Q46.If $24 0 \int \frac{π}{4} [sin 4 x - \frac{π}{12} + [2 sin x]] d x = 2 π + α$ , where $[\cdot]$ denotes the greatest integer function, then $α$ is equal to .
Mathematics · Definite Integration · Numerical
Q49.If $t \to 0 lim (0 \int 1 (3 x + 5)^{t} d x)^{\frac{1}{t}} = \frac{α}{5 e} (\frac{8}{5})^{\frac{2}{3}}$ , then $α$ is equal to .
Mathematics · Definite Integration · Numerical