Mathematics

# The value of $\displaystyle \int _{ 5 }^{ 10 }{ \left( \sqrt { x+\sqrt { 20x-100 } } -\sqrt { x-\sqrt { 20x-100 } } \right) }$ is equal to

$10\sqrt {5}$

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86

#### Realted Questions

Q1 Single Correct Medium
The value of $\displaystyle \int_{-2}^{2}(ax^{3}+bx+c)\ dx$ depends on:
• A. The value of $b$
• B. The value of $a$
• C. The value of $a$ and $b$
• D. The value of $c$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
Solve $\displaystyle \int {\frac{x}{{1 - {x^3}}}dx}$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Hard
The value of $\displaystyle \int_{0}^{\pi /2}\displaystyle \frac{\sin 8x\log \left ( \cot x \right )}{\cos 2x}dx$ is
• A. $\pi$
• B. $\dfrac {5\pi}{2}$
• C. $\dfrac {3\pi}{2}$
• D. $0$

1 Verified Answer | Published on 17th 09, 2020

Q4 Single Correct Hard
If $\displaystyle \int \frac{dx}{\left ( x-p \right )\sqrt{\left ( x-p \right )\left ( x-q \right )}} \displaystyle =-\frac{2}{p-q}\sqrt{\frac{x-a}{x-b}}+c$ then find $a$ and $b$ are respectively
• A. $p,q$
• B. $q,q^2$
• C. $p^2,q^2$
• D. $q,p$

Evaluate $\int {\dfrac{1}{{\sqrt 3 \sin x + \cos x}}dx}$