Integral Calculus & Area · NDA previous year questions

2021 3 questions

1. Q812021 · 14 Nov 2021

   What is the integral of $f(x)=1+x^2+x^4$ with respect to $x^2$?

   1. A.$x+\frac{x^3}{3}+\frac{x^5}{5}+C$
   2. B.$\frac{x^3}{3}+\frac{x^5}{5}+C$
   3. C.$x^2+\frac{x^4}{4}+\frac{x^6}{6}+C$
   4. D.$x^2+\frac{x^4}{2}+\frac{x^6}{3}+C$
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   Answer: D

2. Q992021 · 14 Nov 2021

   What is the area bounded by y = [x], where [⋅] is the greatest integer function, the x-axis and the lines x = -1.5 and x = -1.8?

   1. A.0.3 square unit
   2. B.0.4 square unit
   3. C.0.6 square unit
   4. D.0.8 square unit
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   Answer: C

3. Q962021 · 18 Apr 2021

   What is the area bounded by $y=\sqrt{16-x^2}$, $y\ge 0$ and the x-axis?

   1. A.$16\pi$ square units.
   2. B.$8\pi$ square units.
   3. C.$4\pi$ square units.
   4. D.$2\pi$ square units.
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   Answer: B