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Realted Questions

Q1 Subjective Medium
Integration of 
$$\displaystyle \int{\dfrac{x^{2}}{1+y^{2}}}dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q2 Single Correct Medium
If $$f(x)=\displaystyle\int_{0}^{x}t\sin tdt$$, then $$f'(x)$$ is
  • A. $$\cos x+x\sin x$$
  • B. $$x\cos x$$
  • C. $$\sin x+x\cos x$$
  • D. $$x\sin x$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q3 Subjective Medium
Evaluate $$\int { \cfrac { 1 }{ (x-1){ x }^{ 2 } }  } dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q4 Subjective Medium
$$I = \int \frac { 1 } { \sqrt { 2 x ^ { 2 } + 3 x + 8 } } d x$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q5 Single Correct Medium
Integrate:
$$ \int _{ 0 }^{ \infty  }{ \dfrac { x\tan ^{ -1 }{ x }  }{ { (1+{ x }^{ 2 }) }^{ 2 } }  } dx$$ equals ?
  • A. $$\pi/2$$
  • B. $$\pi/6$$
  • C. $$\pi/4$$
  • D. $$\pi/8$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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