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Definite Integration · 2022 · 27 Jul · Shift 2

4 Mathematics questions from this JEE Main paper

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JEE Main
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2022 · 27 Jul · Shift 2
Mathematics
Definite Integration

Definite Integration · 2022 · 27 Jul · Shift 2

4 Mathematics questions from this JEE Main paper

Q26.Let $f (x) = 2 + ∣ x ∣ - ∣ x - 1∣ + ∣ x + 1∣, x \in R$ . Consider $(S 1) : f^{'} (- \frac{3}{2}) + f^{'} (- \frac{1}{2}) + f^{'} (\frac{1}{2}) + f^{'} (\frac{3}{2}) = 2 (S 2) : - 2 \int 2 f (x) d x = 12$ …
Mathematics · Definite Integration · MCQ
Q29. $0 \int 2 (2 x^{2} - 3 x + [x - \frac{1}{2}]) d x$ , where [t] is the greatest integer function, is equal to :
Mathematics · Definite Integration · MCQ
Q38.Let $f (x) = min {[x - 1], [x - 2], \dots, [x - 10]}$ where [t] denotes the greatest integer $0 \int 10 f (x) d x + 0 \int 10 (f (x))^{2} d x + 0 \int 10 ∣ f (x) ∣ d x$ . Then $0 \int 10 f (x) d x + 0 \int 10 (f (x))^{2} d x + 0 \int 10 ∣ f (x) ∣ d x$ …
Mathematics · Definite Integration · Numerical
Q39.Let f be a differentiable function satisfying $f (x) = \frac{2}{3} 0 \int 3 f (\frac{λ ^{2} x}{3}) d λ, x > 0$ and $f (1) = 3$ . If $y = f (x)$ passes through the point $(α, 6)$ ,…
Mathematics · Definite Integration · Numerical