Mathematics

$\int {{{\sqrt {16 + {{\left( {\log x} \right)}^2}} } \over x}dx}$

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

Realted Questions

Q1 Single Correct Medium
What is $\displaystyle\int { { e }^{ { e }^{ x } }{ e }^{ x }dx }$ equal to?
• A. $2{ e }^{ { e }^{ x } }+c$
• B. ${ e }^{ { e }^{ x } }{ e }^{ x }+c$
• C. $2{ e }^{ { e }^{ x } }{ e }^{ x }+c$

where $c$ is an arbitrary constant
• D. ${ e }^{ { e }^{ x } }+c$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
Evaluate the following integral
$\int { \cfrac { 1 }{ x\left( 3+\log { x } \right) } } dx$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
$\displaystyle \int \frac {ln \left ( x \right )} {x\sqrt{1 + ln \left ( x \right )}} dx$ equlas
• A. $\displaystyle \frac{4}{3} \sqrt{1 + ln \left | x \right |} (ln \left | x \right | - 2) - c$
• B. $\displaystyle \frac{1}{3} \sqrt{1 + ln \left | x \right |} (ln \left | x \right | - 2) + c$
• C. $\displaystyle 2 \sqrt{1 + ln \left | x \right |} (3ln \left | x \right | - 2) + c$
• D. $\displaystyle \frac{2}{3} \sqrt{1 + ln \left | x \right |} (ln \left | x \right | - 2) + c$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Solve:
$\displaystyle \int \dfrac{x\tan^{-1}{x^{2}}}{(1+x^{4})}\ dx$

1 Verified Answer | Published on 17th 09, 2020

Q5 Single Correct Medium
$\int _{ 0 }^{ a }{ \left( f(x)+f(-x) \right) } dx=$
• A. $-\int _{ -a }^{ a }{ f(x)dx }$
• B. $0$
• C. $-\int _{ -a }^{ a }{ f(-x)dxz }$
• D. $2\int _{ 0 }^{ a }{ f(x)dx }$