Question Text
Question 5 :
What is $\displaystyle \int \dfrac{dx}{2x^2 - 2x + 1}$ equal to ?
Question 6 :
If $\int \frac { x ^ { 2 } \tan ^ { - 1 } x } { 1 + x ^ { 2 } } d x = \tan ^ { - 1 } x - \frac { 1 } { 2 } \log \left( 1 + x ^ { 2 } \right) + f ( x ) + c$ then $f ( x ) =$
Question 8 :
$\displaystyle \int \dfrac { \cot ^ { 2 } x } { \left( cosec ^ { 2 } x + cosec x \right) } d x =$
Question 10 :
Evaluate: $\displaystyle \int { \dfrac { x\sqrt { x } .dx }{ \sqrt { 1-{ x }^{ 5 } }  } } $
Question 11 :
The integral $\displaystyle \int { \left( 1+2{ x }^{ 2 }+\frac { 1 }{ x } \right) } { e }^{ { x }^{ 2-\frac { 1 }{ x } } }dx$ is equal to
Question 12 :
$\displaystyle\int { \cfrac { \sqrt { x }  }{ \sqrt { x } -\sqrt [ 3 ]{ x }  }  } dx$ is equal to