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 · 2024 · 27 Jan · Shift 2

2 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
2024 · 27 Jan · Shift 2
Mathematics
Definite Integration

Definite Integration · 2024 · 27 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

Q49.For $0 < a < 1$ , the value of the integral $0 \int π \frac{d x}{1 - 2 a c o s x + a ^{2}}$ is :
Mathematics · Definite Integration · MCQ
Q54.Let $f (x) = 0 \int x g (t) lo g_{e} (\frac{1 - t}{1 + t}) dt$ , where $g$ is a continuous odd function. If $\int_{- π /2}^{π /2} (f (x) + \frac{x ^{2} c o s x}{1 + e ^{x}}) d x = (\frac{π}{α})^{2} - α$ …
Mathematics · Definite Integration · Numerical