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Definite Integration · 2024 · Shift 2

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2024 · Shift 2
Mathematics
Definite Integration

Definite Integration · 2024 · Shift 2

2 Mathematics questions from this JEE Advanced paper

Q33.Let $f : [0, \frac{π}{2}] \to [0, 1]$ be the function defined by $f (x) = sin^{2} x$ and let $g : [0, \frac{π}{2}] \to [0, \infty)$ be the function defined by $g (x) = \frac{π x}{2} - x^{2}$ .The value of $2 0 \int \frac{π}{2} f (x) g (x) d x - 0 \int \frac{π}{2} g (x) d x$ …
Mathematics · Definite Integration · Numerical
Q34.Let $f : [0, \frac{π}{2}] \to [0, 1]$ be the function defined by $f (x) = sin^{2} x$ and let $g : [0, \frac{π}{2}] \to [0, \infty)$ be the function defined by $g (x) = \frac{π x}{2} - x^{2}$ .The value of $\frac{16}{π ^{3}} 0 \int \frac{π}{2} f (x) g (x) d x$ …
Mathematics · Definite Integration · Numerical