Mathematics

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

Q1 Single Correct Medium
$$\int ^\pi _0 | cos x|^3 dx$$ is equal to 
  • A. $$\dfrac{2}{3}$$
  • B. $$0$$
  • C. $$\dfrac{-8}{3}$$
  • D. $$\dfrac{4}{3}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q2 Subjective Medium
$$\displaystyle\int^1_0\cot^{-1}(1+x^2-x)dx$$.

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q3 Subjective Medium
Simplify the given logarithmic function:
$$(x^2+1) \log x$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q4 Single Correct Hard
$$\displaystyle \int_{0}^{\pi/4}{\dfrac{x.\sin x}{\cos^{3}x}dx}$$ equals to :
  • A. $$\dfrac{\pi}{4}+\dfrac{1}{2}$$
  • B. $$\dfrac{\pi}{4}$$
  • C. $$\dfrac{\pi}{4}+1$$
  • D. $$\dfrac{\pi}{4}-\dfrac{1}{2}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q5 Subjective Hard
Solve $$\left[-\displaystyle \int^{\pi/2}_0\cos \left(\dfrac{\pi}{4}+\dfrac{x}{2}\right)e^x\right]dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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