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Definite Integration · 2007 · Shift 0

3 Mathematics questions from this JEE Main paper

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JEE Main
Papers
2007 · Shift 0
Mathematics
Definite Integration

Definite Integration · 2007 · Shift 0

3 Mathematics questions from this JEE Main paper

Q46.Let $I = 0 \int 1 \frac{s i n x}{x} d x$ and $J = 0 \int 1 \frac{c o s x}{x} d x .$ Then which one of the following is true?
Mathematics · Definite Integration · MCQ
Q48.The solution for $x$ of the equation $2 \int x \frac{d t}{t t ^{2} - 1} = \frac{π}{2}$ is
Mathematics · Definite Integration · MCQ
Q49.Let $F (x) = f (x) + f (\frac{1}{x}),$ where $f (x) = l \int x \frac{l o g t}{1 + t} d t,$ Then $F (e)$ equals
Mathematics · Definite Integration · MCQ