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Definite Integration · 2022 · 30 Jun · Shift 1

1 Mathematics questions from this JEE Main paper

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JEE Main
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2022 · 30 Jun · Shift 1
Mathematics
Definite Integration

Definite Integration · 2022 · 30 Jun · Shift 1

1 Mathematics questions from this JEE Main paper

Q37.Let $f (t) = 0 \int t e^{x^{3}} (\frac{x ^{8}}{( x ^{6} + 2 x ^{3} + 2 ) ^{2}}) d x$ . If $f (1) + f^{'} (1) = α e - \frac{1}{6}$ , then the value of 150 $α$ is equal to .
Mathematics · Definite Integration · Numerical