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Definite Integration · 2024 · 4 Apr · Shift 1

3 Mathematics questions from this JEE Main paper

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JEE Main
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2024 · 4 Apr · Shift 1
Mathematics
Definite Integration

Definite Integration · 2024 · 4 Apr · Shift 1

3 Mathematics questions from this JEE Main paper

Q31. $Let f (x) = {- 2, x - 2, - 2 \leq x \leq 0 0 < x \leq 2 and h (x) = f (∣ x ∣) + ∣ f (x) ∣ . Then \int_{- 2}^{2} h (x) d x is equal to:$ …
Mathematics · Definite Integration · MCQ
Q52.If the shortest distance between the lines $\frac{x + 2}{2} = \frac{y + 3}{3} = \frac{z - 5}{4}$ and $\frac{x - 3}{1} = \frac{y - 2}{- 3} = \frac{z + 4}{2}$ is $\frac{38}{3 5} k$ , and $0 \int k [x^{2}] d x = α - α$ …
Mathematics · Definite Integration · Numerical
Q56.If $\int_{0}^{\frac{π}{4}} \frac{s i n ^{2} x}{1 + s i n x c o s x} d x = \frac{1}{a} lo g_{e} (\frac{a}{3}) + \frac{π}{b 3}$ , where $a, b \in N$ , then $a + b$ …
Mathematics · Definite Integration · Numerical