Mathematics

Single Correct Medium Published on 17th 09, 2020
Next Question
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86
Enroll Now For FREE

Realted Questions

Q1 Single Correct Hard
$$ \displaystyle \lim_{n\to \infty} \left[ \frac{n^{1/2}}{n^{3/2}} +\frac{n^{1/2}}{(n+3)^{3/2}}+\frac{n^{1/2}}{(n+6)^{3/2}}+......\frac{n^{1/2}}{ \left \{n+3(n-1)\right \}^{3/2} } \right]=$$
  • A. $$1/5$$
  • B. $$1/10$$
  • C. $$1/2$$
  • D. $$1/3$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Single Correct Medium
If $$f(x)=\begin{vmatrix}\sin x+\sin2x+\sin3x & \sin2x & \sin3x\\ 3+4\sin x & 3 & 4\sin x\\ 1+\sin x & \sin x & 1\end{vmatrix} $$, then the value of $$\displaystyle \int_{0}^{\frac{\pi}2}f(x)dx$$, is
  • A. $$3$$
  • B. $$\dfrac23$$
  • C. $$0$$
  • D. $$\dfrac13$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Subjective Medium
Evaluate the following integrals:$$\displaystyle \int {\dfrac{x}{x+2}.dx}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Subjective Medium
$$\int\dfrac{dx}{\sqrt{2ax^3}}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Single Correct Medium
$$\displaystyle \overset{\pi/2}{\underset{0}{\int}}{ \dfrac { \sin ^6x }{ \cos ^{ 6 }{ x } +\sin ^{ 6 }{ x }  }  }dx$$ is equal to:
  • A. $$0$$
  • B. $$\pi$$
  • C. $$2\pi$$
  • D. $$\dfrac{\pi}{4}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer