Question Text
Question 6 :
$\displaystyle\int { \frac { dx }{ \left( 1+\sqrt { x } \right) \sqrt { x-{ x }^{ 2 } } } } $ is equal to<br>
Question 7 :
Evaluate $\displaystyle\int { \left( \dfrac { 1 }{ 7 } -\dfrac { 1 }{ { y}^{ 5/4 } }  \right)  }dy$
Question 9 :
$\int {{{(\sin x)}^{99}}{{(\cos x)}^{ - 101}}dx = \_\_\_\_\_\_\_ + C.} $
Question 10 :
$\displaystyle\int { \sin ^{ -1 }{ \sqrt { \dfrac { x }{ a+x } } } dx } $ is equal to
Question 11 :
If $\displaystyle l^{r}(x)$ means $\log \log \log .........x,$ the $\log $ being repeated r times, then$\displaystyle \int \left [x l(x)l^{2}(x)l^{3}(x)......l^{r}(x) \right ]^{-1}dx$is equal to<br>
Question 12 :
The average value of pressure varying from 2 to 10 atm if the pressure $p $ and the volume $v$ are related by $ pv^{3/2} = 160 $ is
Question 14 :
$\int { \cfrac { 1 }{ 8\sin ^{ 2 }{ x } +1 } } dx$ is equal to
