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Integrals

JEE Main · Mathematics · 16 past questions

These are the board's own papers. 330 more board questions reprinted in the books we use in class are for signed-in students: sign in.

3 of 16 · show all

  1. Q1 2026 2 Apr Shift 1
    Let $[\cdot]$ denote the greatest integer function. Then the value of…
  2. Q6 2026 4 Apr Shift 1
    Let $\int_{-2}^{2}\left(|\sin x|+[x\sin x]\right)dx=2(3-\cos 2)+\beta$, where $[\cdot]$ is the greatest…
  3. Q15 2026 8 Apr Shift 2
    Let $f(x)=\begin{cases}\dfrac13, & x\le \pi/2\\[4pt] \dfrac{b(1-\sin x)}{(\pi-2x)^2}, & x>\pi/2\end{cases}$.…