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Definite Integration · 2023 · 13 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
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2023 · 13 Apr · Shift 1
Mathematics
Definite Integration

Definite Integration · 2023 · 13 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

Q30. $\int_{0}^{\infty} \frac{6}{e ^{3 x} + 6 e ^{2 x} + 11 e ^{x} + 6} d x =$
Mathematics · Definite Integration · MCQ
Q42.Let for $x \in R, S_{0} (x) = x, S_{k} (x) = C_{k} x + k \int_{0}^{x} S_{k - 1} (t) d t$ , where $C_{0} = 1, C_{k} = 1 - \int_{0}^{1} S_{k - 1} (x) d x, k = 1, 2, 3, \dots$ Then $S_{2} (3) + 6 C_{3}$ is equal to .
Mathematics · Definite Integration · Numerical