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 · 31 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 · 31 Jan · Shift 2
Mathematics
Definite Integration

Definite Integration · 2024 · 31 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

Q40.Let $f, g : (0, \infty) \to R$ be two functions defined by $f (x) = - x \int x (∣ t ∣ - t^{2}) e^{- t^{2}} d t$ and $g (x) = 0 \int x^{2} t^{1/2} e^{- t} d t$ . Then, the value of $9 (f (lo g_{e} 9) + g (lo g_{e} 9))$ …
Mathematics · Definite Integration · MCQ
Q53. $\frac{120}{π ^{3}} 0 \int π \frac{x ^{2} s i n x c o s x}{s i n ^{4} x + c o s ^{4} x} d x$ is equal to .
Mathematics · Definite Integration · Numerical