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Definite Integration · 2014 · Shift 1

3 Mathematics questions from this JEE Advanced paper

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PYQ Library
JEE Advanced
Papers
2014 · Shift 1
Mathematics
Definite Integration

Definite Integration · 2014 · Shift 1

3 Mathematics questions from this JEE Advanced paper

Q26.Let $f : (0, \infty) \to R$ be given by $f (x)$ = $\frac{1}{x} \int x \frac{e ^{- (t + \frac{1}{t})}}{t} d t$ . Then
Mathematics · Definite Integration · Multiple correct
Q28.The value of $0 \int 1 4 x^{3} {\frac{d ^{2}}{d x ^{2}} (1 - x^{2})^{5}} d x$ is
Mathematics · Definite Integration · Numerical
Q37.Let a $\in$ R and f : R $\to$ R be given by f(x) = x5 $-$ 5x + a. Then,
Mathematics · Definite Integration · Multiple correct