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Definite Integration · 2022 · 25 Jul · Shift 2

3 Mathematics questions from this JEE Main paper

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2022 · 25 Jul · Shift 2
Mathematics
Definite Integration

Definite Integration · 2022 · 25 Jul · Shift 2

3 Mathematics questions from this JEE Main paper

Q29.Let $[t]$ denote the greatest integer less than or equal to $t$ . Then the value of the integral $\int_{- 3}^{101} ([sin (π x)] + e^{[c o s (2 π x)]}) d x$ is equal to
Mathematics · Definite Integration · MCQ
Q42.Let $f$ be a twice differentiable function on $R$ . If $f^{'} (0) = 4$ and $f (x) + 0 \int x (x - t) f^{'} (t) d t = (e^{2 x} + e^{- 2 x}) cos 2 x + \frac{2}{a} x$ , then $(2 a + 1)^{5} a^{2}$ is equal to …
Mathematics · Definite Integration · Numerical
Q43.Let $a_{n} = - 1 \int n (1 + \frac{x}{2} + \frac{x ^{2}}{3} + ..... + \frac{x ^{n - 1}}{n}) d x$ for every n $\in$ N. Then the sum of all the elements of the set {n} $\in$ N : an $\in$ (2, 30)} is …
Mathematics · Definite Integration · Numerical