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Definite Integration · 2023 · 13 Apr · Shift 2

2 Mathematics questions from this JEE Main paper

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2023 · 13 Apr · Shift 2
Mathematics
Definite Integration

Definite Integration · 2023 · 13 Apr · Shift 2

2 Mathematics questions from this JEE Main paper

Q32.The value of $\frac{e ^{- \frac{π}{4}} + 0 \int \frac{π}{4} e ^{- x} t a n ^{50} x d x}{0 \int \frac{π}{4} e ^{- x} ( t a n ^{49} x + t a n ^{51} x ) d x}$ is
Mathematics · Definite Integration · MCQ
Q37.Let $f_{n} = \int_{0}^{\frac{π}{2}} (\sum_{k = 1}^{n} sin^{k - 1} x) (\sum_{k = 1}^{n} (2 k - 1) sin^{k - 1} x) cos x d x, n \in N$ . Then $f_{21} - f_{20}$ is equal to
Mathematics · Definite Integration · Numerical