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Definite Integration · 2023 · 11 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
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2023 · 11 Apr · Shift 1
Mathematics
Definite Integration

Definite Integration · 2023 · 11 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

Q30.The value of the integral $\int_{- l o g_{e} 2}^{l o g_{e} 2} e^{x} (lo g_{e} (e^{x} + 1 + e^{2 x})) d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q43.For $m, n > 0$ , let $α (m, n) = \int_{0}^{2} t^{m} (1 + 3 t)^{n} d t$ . If $11 α (10, 6) + 18 α (11, 5) = p (14)^{6}$ , then $p$ is equal to .
Mathematics · Definite Integration · Numerical