Application of Integrals

JEE Main · Mathematics · 7 past questions

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1. Q1 2026 2 Apr Shift 2

   If the area of the region bounded by $16x^2-9y^2=144$ and $8x-3y=24$ is A, then $3(A+6\log_e(3))$ is equal to…

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2. Q2 2026 4 Apr Shift 1

   The area of the region $\{(x,y): y\le \pi-|x|,\ y\le |x\sin x|,\ y\ge 0\}$ is…

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3. Q3 2026 4 Apr Shift 2

   The area of the region bounded by the curves $x + 3y^2 = 0$ and $x + 4y^2 = 1$ is equal to…

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4. Q4 2026 5 Apr Shift 1

   The area of the region $R = \{(x, y): xy \le 27,\ 1 \le y \le x^2\}$ is equal to…

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5. Q5 2026 5 Apr Shift 2

   Let $f:\mathbf{R}\to\mathbf{R}$ be a function such that $f(x)+3f\left(\frac{\pi}{2}-x\right)=\sin x$…

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6. Q6 2026 6 Apr Shift 1

   The area of the region $\{(x,y): 0\le y\le 6-x,\ y^2\ge 4x-3,\ x\ge 0\}$ is…

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7. Q7 2026 6 Apr Shift 2

   The area of the region $\{(x, y) : x^2 - 8x \le y \le -x\}$ is…

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