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Definite Integration · 2023 · 30 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
Papers
2023 · 30 Jan · Shift 1
Mathematics
Definite Integration

Definite Integration · 2023 · 30 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

Q26.If [t] denotes the greatest integer $\frac{3 ( e - 1 )}{e} 1 \int 2 x^{2} e^{[x] + [x^{3}]} d x$ , then the value of $\frac{3 ( e - 1 )}{e} 1 \int 2 x^{2} e^{[x] + [x^{3}]} d x$ is :
Mathematics · Definite Integration · MCQ
Q33. $lim_{x \to 0} \frac{48}{x ^{4}} \int_{0}^{x} \frac{t ^{3}}{t ^{6} + 1} d t$ is equal to .
Mathematics · Definite Integration · Numerical