Mathematics

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

Q1 Subjective Hard
Evaluate:
$$\int { { e }^{ x }\left( \tan { x } -\log { \cos { x }  }  \right)  } dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q2 Subjective Medium
Solve :-
$$I=4\displaystyle \int_0^{\pi/2}\sin^2{x} \ dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q3 Single Correct Medium
If $$I= \displaystyle \int_{1}^{2}\displaystyle \frac{dx}{\left ( x+1 \right )\sqrt{x^{2}-1}}$$ then $$I$$ is equal to
  • A. $$1$$
  • B. $$1/2$$
  • C. $$1/\sqrt{2}$$
  • D. $$1/\sqrt{3}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q4 Subjective Medium
$$\displaystyle \int t^{3/2}+t^{1/2}dt$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q5 Single Correct Medium
Evaluate: $$\displaystyle \int { \dfrac { \cos { x } -\sin { x }  }{ 1+\sin { 2x }  }  } dx$$
  • A. $$\dfrac{1}{\sin x+\cos x}+C$$
  • B. $$\dfrac{2}{\sin 2x+\cos x}+C$$
  • C. $$-\dfrac{2}{\sin 2x+\cos x}+C$$
  • D. $$-\dfrac{1}{\sin x+\cos x}+C$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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