Mathematics

# The value of the definite integral $\int _{ 2 }^{ 3 }{ \left[ \sqrt { 2x-\sqrt { 5\left( 4x-5 \right) } } +\sqrt { 2x+\sqrt { 5\left( 4x-5 \right) } } \right] } dx=$

$\dfrac {7\sqrt {3}+3\sqrt {5}}{3\sqrt {2}}$

Its FREE, you're just one step away

Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

#### Realted Questions

Q1 Single Correct Medium

$\displaystyle \int_{0}^{1}\frac{x^{2}}{1+x^{2}}dx$ equals
• A. $1-\displaystyle \frac{\pi}{3}$
• B. $\displaystyle \frac{\pi}{3}$
• C. $\displaystyle \frac{\pi}{4}$
• D. $1-\displaystyle \frac{\pi}{4}$

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
$\int _{ 0 }^{ \pi }{ |cosx{ | }^{ 3 }dx }$ is equal to
• A. $\cfrac { 2 }{ 3 }$
• B. $0$
• C. $\cfrac { -8 }{ 3 }$
• D. $\cfrac { 4 }{ 3 }$

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
Find the following integral.
$\displaystyle\int e^x (\sec^2 x + \tan x).dx$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
$\displaystyle\int^{\infty}_0\dfrac{x log x}{(1+x^2)^2}dx$.

The value of $\left(\int_{0}^{\pi/6} sec^{2} x dx\right)^2$ is: