Integral Calculus & Area · JEE Main previous year questions

2020 27 questions

1. Q12020 · 7 Jan 2020 · Shift 2

   The value of $\alpha$ for which $4\alpha {\int }_{-1}^2{e}^{-\alpha |x|}dx=5$, is:

   1. A.${\log }_{e}2$
   2. B.${\log }_e\sqrt{2}$
   3. C.${\log }_e\left(\frac{4}{3}\right)$
   4. D.${\log }_e\left(\frac{3}{2}\right)$
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   Answer: A

2. Q52020 · 7 Jan 2020 · Shift 2

   The area (in sq. units) of the region $\{(x,y)\in {\mathbb{R}}^2\mid 4x^2\le y\le 8x+12\}$ is :

   1. A.$\frac{125}{3}$
   2. B.$\frac{128}{3}$
   3. C.$\frac{127}{3}$
   4. D.$\frac{124}{3}$
   Show answer

   Answer: B