Mathematics

Value of $$ \displaystyle \int_{1}^{5} \left(\sqrt {x+2\sqrt {x-1}}+\sqrt {x-2(x-1)}\right)dx$$ is


ANSWER

$$\dfrac {8}{3}$$


View Full Answer

Its FREE, you're just one step away


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 Subjective Hard
Integrate $$\displaystyle \int \dfrac{1}{x^{2/3}\sqrt{x^{2/3}-4}}dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Single Correct Medium
The value of the integral I = $$\begin{matrix} -2 \\ \int \\ 0 \end{matrix} x(1 - x)^n$$ dx is equal
  • A. $$\dfrac{1}{n + 2}$$
  • B. $$\dfrac{1}{n + 1} - \dfrac{1}{n + 2}$$
  • C. $$\dfrac{1}{n + 1} - \dfrac{1}{n + 2}$$
  • D. $$\dfrac{1}{n + 1}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Subjective Hard
Solve : $$\displaystyle \underset{0}{\overset{2 \pi}{\int}} \dfrac{sin \theta  \, d \theta}{a - b \, \cos \theta}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Subjective Medium
Evaluate the following integrals
$$\int { \cfrac { 1 }{ 5-4\cos { x }  }  } dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Subjective Medium
$$\underset {n\rightarrow \infty}{lim}\dfrac{1^2+2^2+3^2+.....+n^2}{n^3}=.................$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer