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Definite Integration · 2024 · 29 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

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JEE Main
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2024 · 29 Jan · Shift 2
Mathematics
Definite Integration

Definite Integration · 2024 · 29 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

Q54.Let the slope of the line $45 x + 5 y + 3 = 0$ be $27 r_{1} + \frac{9 r _{2}}{2}$ for some $r_{1}, r_{2} \in R$ . Then $lim_{x \to 3} (\int_{3}^{x} \frac{8 t ^{2}}{\frac{3 r _{2} x}{2} - r _{2} x ^{2} - r _{1} x ^{3} - 3 x} d t)$ is equal to …
Mathematics · Definite Integration · Numerical
Q60.If $\int_{\frac{π}{6}}^{\frac{π}{3}} 1 - sin 2 x d x = α + β 2 + γ 3$ , where $α, β$ and $γ$ are rational numbers, then $3 α + 4 β - γ$ is equal to .
Mathematics · Definite Integration · Numerical