Question 5 :
Evaluate  $\int _{ 0 }^{ 1 }{ \sqrt { \cfrac { x }{ 1-{ x }^{ 3 } }  }  } dx=$
Question 11 :
$\displaystyle \int {\frac{{xdx}}{{\sqrt {1 + {x^2} + \sqrt {{{(1 + {x^2})}^3}} } }}} $ is equal to :
Question 19 :
The value of $\displaystyle \int \dfrac {(x - 2)dx}{\left \{(x - 2)^{2} (x + 3)^{7}\right \}^{1/3}}$ is
Question 27 :
$\int { { e }^{ \sqrt { x } } } dx=...+C;x>0$
Question 29 :
$\displaystyle \int { \cfrac { x }{ 1+{ x }^{ 4 } }  } dx$ is equal to
Question 30 :
Let $F(x)$ be the primitive of $\displaystyle \frac{3x+2}{\sqrt{x-9}}$ w.r.t $x$ . If $F(10)=60$ then the value of $F(13)$, is
Question 31 :
$\int x ^ { 2 } e ^ { x ^ { 3 } } d x$ equals
Question 35 :
$\displaystyle\int { \dfrac { dx }{ x\sqrt { { x }^{ 6 }-16 } } } $ is equal to
Question 37 :
<div>Evaluate the given integral.<br/></div>$\displaystyle\int { \cfrac { { x }^{ 9 } }{ { \left( 4{ x }^{ 2 }+1 \right)  }^{ 6 } }  } dx $ 
Question 39 :
$\displaystyle \int \dfrac {x^{2} - 1}{(x^{4} + 3x^{2} + 1)\tan^{-1} \left (x + \dfrac {1}{x}\right )} dx$ is equal to
Question 40 :
If $ \displaystyle \int \frac{4e^x + 6 e ^{-x}}{9e^x - 4e^{-x}} dx = Ax + bln (9e^{2x} - 4) + C; $ then; value of A, B, & C are
Question 43 :
If $\displaystyle \int \dfrac{x^3 dx}{\sqrt{1 + x^2}} = a(1 + x^2)^{\frac{3}{2}} + b \sqrt{1 + x^2} + C,$ then
Question 46 :
If $\displaystyle I=\int _{ 0 }^{ 1 }{ \frac { dx }{ { x }^{ 2 }{ \left( 1+{ x }^{ 4 } \right) }^{ 3/4 } } } $ is equal to
Question 49 :
$\displaystyle \int\frac{8x + 13}{\sqrt{4x + 7}} dx$ is equal to :
Question 50 :
$\displaystyle \int { { \left(\displaystyle  \frac { 1 }{ a } -\displaystyle \frac { 1 }{ x }  \right)  }^{ n } } \displaystyle \frac { 1 }{ { x }^{ 2 } } dx$<br/>
Question 53 :
$ \displaystyle \int \dfrac {dx}{x - \sqrt{x}} $ is equal to :
Question 54 :
Solve $\displaystyle\int {\dfrac{{2 + x + {x^2}}}{{{x^2}\left( {2 + x} \right)}} + \dfrac{{2x - 1}}{{{{\left( {x + 1} \right)}^2}}}dx} $
Question 55 :
$\int { \cfrac { { x }^{ 2 }+1 }{ x({ x }^{ 2 }-1) } dx } $ is equal to
Question 56 :
$\int \dfrac { x ^ { 2 } + x - 1 } { x ^ { 2 } + x - 6 } d x =$
Question 58 :
$\displaystyle \int { \frac { \sec { x }  }{ \sqrt { \sin { \left(2 x+\alpha  \right)  } +\sin { \alpha  }  }  } dx } =$