New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

Definite Integration · 2021 · 20 Jul · Shift 2

3 Mathematics questions from this JEE Main paper

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Papers
2021 · 20 Jul · Shift 2
Mathematics
Definite Integration

Definite Integration · 2021 · 20 Jul · Shift 2

3 Mathematics questions from this JEE Main paper

Q27.If [x] denotes the greatest integer less than or equal to x, then the value of the integral $\int_{- π /2}^{π /2} [[x] - sin x] d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q28.If the real part of the complex number $(1 - cos θ + 2 i sin θ)^{- 1}$ is $\frac{1}{5}$ for $θ \in (0, π)$ , then the value of the integral $\int_{0}^{θ} sin x d x$ is equal to:
Mathematics · Definite Integration · MCQ
Q35.Let $g (t) = \int_{- π /2}^{π /2} cos (\frac{π}{4} t + f (x)) d x$ , where $f (x) = lo g_{e} (x + x^{2} + 1), x \in R$ . Then which one of the following is correct?
Mathematics · Definite Integration · MCQ