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Definite Integration · 2024 · 31 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

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JEE Main
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2024 · 31 Jan · Shift 2
Mathematics
Definite Integration

Definite Integration · 2024 · 31 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

Q40.Let $f, g : (0, \infty) \to R$ be two functions defined by $f (x) = - x \int x (∣ t ∣ - t^{2}) e^{- t^{2}} d t$ and $g (x) = 0 \int x^{2} t^{1/2} e^{- t} d t$ . Then, the value of $9 (f (lo g_{e} 9) + g (lo g_{e} 9))$ …
Mathematics · Definite Integration · MCQ
Q53. $\frac{120}{π ^{3}} 0 \int π \frac{x ^{2} s i n x c o s x}{s i n ^{4} x + c o s ^{4} x} d x$ is equal to .
Mathematics · Definite Integration · Numerical