Mathematics

# $\int { \cfrac { { x }^{ 2 } }{ (9+4{ x }^{ 2 }) } } dx=$?

$\cfrac { x }{ 4 } -\cfrac { 3 }{ 8 } \tan ^{ -1 }{ \cfrac { 2x }{ 3 } } +C$

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 105

#### Realted Questions

Q1 Single Correct Medium
Consider the integral $I=\displaystyle\int^{\pi}_0 ln(\sin x)dx$.What is $\displaystyle\int^{\dfrac{\pi}{2}}_{0}$ ln $(\sin x)dx$ equal to?
• A. $4I$
• B. $2I$
• C. $I$
• D. $\dfrac{I}{2}$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
Find $\displaystyle \int { \left( \sqrt { x } +\cfrac { 1 }{ \sqrt { x } } \right) } dx$.

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Hard
Find the value of $\displaystyle\int _{ 0 }^{ 2\pi }{ \sin ^{ 2 }{ x } \cdot \cos ^{ 4 }{ x } dx }$.

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Hard
Find: $\displaystyle \int x \tan^{-1} x dx$

1 Verified Answer | Published on 17th 09, 2020

Q5 Single Correct Medium
$\displaystyle \overset{1}{\underset{-1}{\int}} x|x|dx$ is equal to
• A. $\dfrac{2}{3}$
• B. $-\dfrac{2}{3}$
• C. None of these
• D. $0$