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Definite Integration · 2024 · 6 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
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2024 · 6 Apr · Shift 1
Mathematics
Definite Integration

Definite Integration · 2024 · 6 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

Q44. $0 \int π /4 \frac{c o s ^{2} x s i n ^{2} x}{( c o s ^{3} x + s i n ^{3} x ) ^{2}} d x$ is equal to
Mathematics · Definite Integration · MCQ
Q58.Let $r_{k} = \frac{\int _{0}^{1} ( 1 - x ^{7} ) ^{k} d x}{\int _{0}^{1} ( 1 - x ^{7} ) ^{k + 1} d x}, k \in N$ . Then the value of $\sum_{k = 1}^{10} \frac{1}{7 ( r _{k} - 1 )}$ is equal to .
Mathematics · Definite Integration · Numerical