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Definite Integration · 2024 · 1 Feb · Shift 2

3 Mathematics questions from this JEE Main paper

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JEE Main
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2024 · 1 Feb · Shift 2
Mathematics
Definite Integration

Definite Integration · 2024 · 1 Feb · Shift 2

3 Mathematics questions from this JEE Main paper

Q36.If $0 \int \frac{π}{3} cos^{4} x d x = a π + b 3$ , where $a$ and $b$ are rational numbers, then $9 a + 8 b$ is equal to :
Mathematics · Definite Integration · MCQ
Q46.The value of $0 \int 1 (2 x^{3} - 3 x^{2} - x + 1)^{\frac{1}{3}} d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q55.Let $f : (0, \infty) \to R$ and $F (x) = 0 \int x t f (t) dt$ . If $F (x^{2}) = x^{4} + x^{5}$ , then $r = 1 \sum 12 f (r^{2})$ is equal to …
Mathematics · Definite Integration · Numerical