Mathematics

# $\int \frac{x^{4}-2}{x^{2} \sqrt{x^{4}+x^{2}+2}} d x$

$\frac{\sqrt{x^{4}+x^{2}+1}}{|x|}+C$

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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
$\int\dfrac{e^x+e^{-x}+(e^x-e^{-x})sin x}{1+cos x}dx=$
• A. $(e^x-e^{-x}) cot (x/2)+C$
• B. $(e^x-e^{-x}) tan (x/2)+C$
• C. $(e^x-e^{-x}) cosec (x/2)+C$
• D. $(e^x+e^{-x}) tan (x/2)+C$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Hard
Evaluate the integral : $\displaystyle \int \dfrac{dx}{(x^\frac{1}{2} + x^{\frac{1}{3}})}$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Hard
$\displaystyle \int \displaystyle \frac{x\, -\, \sin x}{1\, +\, \cos x}\,dx\, =\, x \tan \left ( \displaystyle \frac{x}{2} \right )\, +\, p\, \log \left | \sec \left ( \displaystyle \frac{x}{2} \right ) \right |\, +\, c\, \Rightarrow\, p\, =$
• A. 4
• B. 2
• C. -2
• D. -4

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Evaluate the following integral:
$\displaystyle \int { \cfrac { \left( x+1 \right) { e }^{ x } }{ \sin ^{ 2 }{ \left( x{ e }^{ x } \right) } } } dx$

1 Verified Answer | Published on 17th 09, 2020

Q5 Single Correct Medium
$\int _{ 0 }^{ 1 }{ \dfrac { { e }^{ x }.x }{ { \left( x+1 \right) }^{ 2 } } dx= }$
• A. $\dfrac{e}{2}$
• B. $1+\dfrac{e}{2}$
• C. $1-\dfrac{e}{2}$
• D. $\dfrac{e}{2}-1$