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Definite Integration · 2003 · Shift 0

5 Mathematics questions from this JEE Main paper

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JEE Main
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2003 · Shift 0
Mathematics
Definite Integration

Definite Integration · 2003 · Shift 0

5 Mathematics questions from this JEE Main paper

Q65.The value of $x \to 0 lim \frac{0 \int x ^{2} s e c ^{2} t d t}{x s in x}$ is
Mathematics · Definite Integration · MCQ
Q83.Let $f (x)$ be a function satisfying $f^{'} (x) = f (x)$ with $f (0) = 1$ and $g (x)$ be a function that satisfies $f (x) + g (x) = x^{2}$ . Then the value of the integral $0 \int 1 f (x) g (x) d x,$ …
Mathematics · Definite Integration · MCQ
Q84.If $f (a + b - x) = f (x)$ then $a \int b x f (x) d x$ is equal to
Mathematics · Definite Integration · MCQ
Q85.The value of the integral $I = 0 \int 1 x (1 - x)^{n} d x$ is
Mathematics · Definite Integration · MCQ
Q115.If $f (y) = e^{y}, g (y) = y; y > 0$ and $F (t) = 0 \int t f (t - y) g (y) d y,$ then :
Mathematics · Definite Integration · MCQ