Mathematics

Single Correct Medium Published on 17th 09, 2020
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Realted Questions

Q1 Subjective Medium
Integrate the function    $$\cfrac {1}{\sqrt {(x-1)(x-2)}}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q2 Subjective Medium
Integrate the function  $$e^{2x+3}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q3 Single Correct Medium
If $$\displaystyle \int \frac{\log (t + \sqrt{1 + t^2})}{\sqrt{1 + t^2}} dt = \frac{1}{2} (g (t))^2 + C$$ where C is a constant, then $$g(2)$$ is equal to
  • A. $$\displaystyle \frac{1}{\sqrt 5} \log (2 + \sqrt 5)$$
  • B. $$2 \log (2 + \sqrt 5)$$
  • C. $$\displaystyle \frac{1}{2}\log (2 + \sqrt 5)$$
  • D. $$\log (2 + \sqrt 5)$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q4 Single Correct Medium
If $$f(x) =  \dfrac{2 \sin x- \sin2x}{x^3}$$ where $$x\neq 0$$, then $$\lim_\limits {x \to 0} f(x) $$ has the value; 
  • A. $$0$$
  • B. $$2$$
  • C. Not defined.
  • D. $$1$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q5 Subjective Easy
Evaluate:
$$ \int_{}^{} {\frac{{ - 1}}{{\sqrt {1 - {x^2}} }}dx} $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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