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Definite Integration · 2014 · Shift 2

4 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2014 · Shift 2
Mathematics
Definite Integration

Definite Integration · 2014 · Shift 2

4 Mathematics questions from this JEE Advanced paper

Q36.The following integral $\frac{π}{4} \int \frac{π}{2} (2 csc x)^{17} d x$ is equal to
Mathematics · Definite Integration · MCQ
Q37.List - $I$ P. The number of polynomials $f (x)$ with non-negative integer coefficients of degree $f (0) = 0$ , satisfying $f (0) = 0$ and $\int_{0}^{1} f (x) d x = 1,$ is Q. The number of points in the interval $[- 13, 13]$ …
Mathematics · Definite Integration · MCQ
Q38.Given that for each $a \in (0, 1), h \to 0^{+} lim h \int 1 - h t^{- a} (1 - t)^{a - 1} d t$ exists. Let this limit be $g (a) .$ In addition, it is given that the…
Mathematics · Definite Integration · MCQ
Q39.Given that for each $a \in (0, 1), h \to 0^{+} lim h \int 1 - h t^{- a} (1 - t)^{a - 1} d t$ exists. Let this limit be $g (a) .$ In addition, it is given that the…
Mathematics · Definite Integration · MCQ