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Definite Integration · 2024 · 30 Jan · Shift 1

3 Mathematics questions from this JEE Main paper

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JEE Main
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2024 · 30 Jan · Shift 1
Mathematics
Definite Integration

Definite Integration · 2024 · 30 Jan · Shift 1

3 Mathematics questions from this JEE Main paper

Q32.The value of $lim_{n \to \infty} \sum_{k = 1}^{n} \frac{n ^{3}}{( n ^{2} + k ^{2} ) ( n ^{2} + 3 k ^{2} )}$ is :
Mathematics · Definite Integration · MCQ
Q40.Let $f : [- \frac{π}{2}, \frac{π}{2}] \to R$ be a differentiable function such that $f (0) = \frac{1}{2}$ . If the $$\lim_{x \rightarrow 0} \frac{x \int_0^x f(\mathrm{t})…
Mathematics · Definite Integration · MCQ
Q53.The value of $9 0 \int 9 [\frac{10 x}{x + 1}] d x$ , where $[t]$ denotes the greatest integer less than or equal to $t$ , is
Mathematics · Definite Integration · Numerical