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Definite Integration · 2021 · 1 Sep · Shift 2

3 Mathematics questions from this JEE Main paper

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JEE Main
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2021 · 1 Sep · Shift 2
Mathematics
Definite Integration

Definite Integration · 2021 · 1 Sep · Shift 2

3 Mathematics questions from this JEE Main paper

Q24.Let f : R $\to$ R be a continuous function. Then $x \to \frac{π}{4} lim \frac{\frac{π}{4} 2 \int s e c ^{2} x f ( x ) d x}{x ^{2} - \frac{π ^{2}}{16}}$ is equal to :
Mathematics · Definite Integration · MCQ
Q30.Let $J_{n, m} = 0 \int \frac{1}{2} \frac{x ^{n}}{x ^{m} - 1} d x$ , $\forall$ n > m and n, m $\in$ N. Consider a matrix $A = [a_{ij}]_{3 \times 3}$ where $a_{ij} = {j_{6 + i, 3} - j_{i + 3, 3}, 0, i \leq j i > j$ …
Mathematics · Definite Integration · MCQ
Q37.The function f(x), that satisfies the condition $f (x) = x + 0 \int π /2 sin x . cos y f (y) d y$ , is :
Mathematics · Definite Integration · MCQ