Mathematics

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

Q1 Subjective Medium
Evaluate $$\int e^x sin \,e^x dx$$ on R

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q2 Single Correct Hard
$$ \displaystyle \int_{0}^{\pi } \frac{x\tan x}{\sec x+\cos x} \:dx$$ is
  • A. $$\displaystyle \frac{\pi ^2}{2}$$
  • B. $$\displaystyle \frac{3\pi ^2}{2}$$
  • C. $$\displaystyle \frac{\pi ^2}{3}$$
  • D. $$\displaystyle \frac{\pi ^2}{4}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q3 Single Correct Hard
$$\displaystyle \int \frac{2x^{4}+x^{3}-4x^{2}+4x+2}{(x^{2}+4)(x^{2}-1)^{2}}dx$$
  • A. $$\displaystyle \tan ^{-1}\frac{x}{2}+\frac{1}{2}\cdot \frac{1}{x^{2}-1}$$
  • B. $$\displaystyle \tan ^{-1}\frac{x}{2}-\frac{1}{3}\cdot \frac{1}{x^{2}-1}$$
  • C. $$\displaystyle \tan ^{-1}\frac{x}{2}-\frac{1}{2}\cdot \frac{1}{x^{2}+1}$$
  • D. $$\displaystyle \tan ^{-1}\frac{x}{2}-\frac{1}{2}\cdot \frac{1}{x^{2}-1}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q4 Subjective Medium
Evaluate : $$\displaystyle \int { \dfrac { 1 }{ { 2x }^{ 2 }+x+1 }  } dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q5 One Word Medium
$$\sqrt{2}\displaystyle \int _{ 0 }^{ 2\pi  }{ \sqrt { 1-\sin { x }  } dx } =$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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