Question Text
Question 7 :
The value of $\displaystyle\int { \cfrac { 2 }{ { \left( { e }^{ x }+{ e }^{ -x } \right)  }^{ 2 } }  } dx$ is
Question 11 :
$\displaystyle \int \dfrac {x^{e - 1} + e^{x - 1}}{x^{e} + e^{x}} dx$ is equal to
Question 13 :
$\int { { e }^{ \sqrt { x } } } dx=...+C;x>0$
Question 15 :
$\displaystyle \int { \frac { dx }{ x\left( { x }^{ 7 }+1 \right) } } \\ $ is equal to:
Question 18 :
If $\displaystyle \frac{1-\cos x}{\cos x (1+\cos x)} = \frac{\sin \alpha}{\cos x} - \frac{2}{1+ \cos x}$ then $\alpha =$
Question 19 :
If $M= \displaystyle \int _{ 0 }^{ \pi /2 }{ \cfrac { \cos { x }  }{ x+2 }  } dx,N=\int _{ 0 }^{ \pi /4 }{ \cfrac { \sin { x } \cos { x }  }{ { \left( x+1 \right)  }^{ 2 } }  } dx\quad $, then the value of $M-N$ is ?
Question 20 : <div>Solve :</div>$ \displaystyle \int { \frac { x+4 }{ { x }^{ 3 }+3{ x }^{ 2 }-10x } dx } $
