Question Text
Question 9 :
The value of $\displaystyle\int \dfrac{\cos\ 2\ x}{\cos\ x}\ dx$ is equal to
Question 11 :
What is $\displaystyle \int \dfrac{dx}{x(1 + ln x)^n}$ equal to $(n \neq 1)$ ?
Question 15 :
$\int { \sqrt { secx-1 } } dx$ is equal to
Question 17 :
$\displaystyle \int \left \{\dfrac {(\log x - 1)}{1 + (\log x)^{2}}\right \}^{2}dx$ is equal to:
Question 18 :
If $\displaystyle \int \dfrac{dx}{\sqrt{\sin^3 x \cos^5 x}} = a \sqrt{\cot x } + b \sqrt {\tan^3x} + c$ where c is an arbitrary constant of integration then the values of $'a'$ and $'b'$ are respectively :<br/>
Question 19 :
Let f be a function defined for every x, such that f'' = -f ,f(0)=0, f' (0) = 1, then f(x) is equal to
Question 20 :
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>