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Definite Integration · 2024 · 5 Apr · Shift 2

2 Mathematics questions from this JEE Main paper

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2024 · 5 Apr · Shift 2
Mathematics
Definite Integration

Definite Integration · 2024 · 5 Apr · Shift 2

2 Mathematics questions from this JEE Main paper

Q41.Let $β (m, n) = 0 \int 1 x^{m - 1} (1 - x)^{n - 1} d x, m, n > 0$ . If $0 \int 1 (1 - x^{10})^{20} d x = a \times β (b, c)$ …
Mathematics · Definite Integration · MCQ
Q57.If $f (t) = 0 \int π \frac{2 x d x}{1 - c o s ^{2} t s i n ^{2} x}, 0 < t < π$ , then the value of $0 \int \frac{π}{2} \frac{π ^{2} dt}{f ( t )}$ equals .
Mathematics · Definite Integration · Numerical