Mathematics

# $\int \frac{e^{x}(x-1)(x-Inx)}{x^{2}}dx$ is equal to

$e^{x}(\frac{(x-Inx)}{{x}})+c$

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

#### Realted Questions

Q1 Single Correct Medium
$\displaystyle \int { \left( \log { \left( \log { x } \right) +\dfrac { 1 }{ { \left( \log { x } \right) }^{ 2 } } } \right) dx= }$
• A. $x\log \log x+\dfrac {x}{\log x}+c$
• B. $x\log \log x+\dfrac {2x}{\log x}+c$
• C. $None\ of\ these$
• D. $x\log \log x-\dfrac {x}{\log x}+c$

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
Solve: $\displaystyle \int {\dfrac{1}{1 + \cos x}}dx$
• A. $2\tan \left( {\frac{x}{2}} \right) + c$
• B. $- \cot \left( {\frac{x}{2}} \right) + c$
• C. $\frac{1}{2}\tan \left( {\frac{x}{2}} \right) + c$
• D. $\tan \left( {\frac{x}{2}} \right) + c$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium

$\displaystyle \int_{0}^{\pi}x.\sin^{3}xdx_{=}$
• A. $\displaystyle \frac{\pi}{3}$
• B. $\displaystyle \frac{\pi}{5}$
• C. $\displaystyle \frac{2\pi}{5}$
• D. $\displaystyle \frac{2\pi}{3}$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
$\displaystyle \int{ \sin }^{ 4 }x \cos x dx$

1 Verified Answer | Published on 17th 09, 2020

Q5 Single Correct Medium
$\displaystyle \int\frac{dt}{(6t-1)}$ is equal to:
• A. $\ln(6t-1)+C$
• B. $-\dfrac{1}{6}\ln(6t-1)+C$
• C. None of these
• D. $\dfrac{1}{6} \ln(6t-1) +C$