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Definite Integration · 2022 · 24 Jun · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
Papers
2022 · 24 Jun · Shift 1
Mathematics
Definite Integration

Definite Integration · 2022 · 24 Jun · Shift 1

2 Mathematics questions from this JEE Main paper

Q40.Let $f (θ) = sin θ + - π /2 \int π /2 (sin θ + t cos θ) f (t) d t$ . Then the value of $\int_{0}^{π /2} f (θ) d θ$ is .
Mathematics · Definite Integration · Numerical
Q41.Let $0 \leq x \leq 2 M a x {\frac{9 - x ^{2}}{5 - x}} = α$ and $0 \leq x \leq 2 M in {\frac{9 - x ^{2}}{5 - x}} = β$ . If $β - \frac{8}{3} \int 2 α - 1 M a x {\frac{9 - x ^{2}}{5 - x}, x} d x = α_{1} + α_{2} lo g_{e} (\frac{8}{15})$ …
Mathematics · Definite Integration · Numerical