Question Text
Question 1 :
$\int { \sqrt { secx-1 } } dx$ is equal to
Question 5 :
$\int _{ 0 }^{ \pi /4 }{ \cfrac { \sec ^{ 2 }{ x } }{ \left( 1+\tan { x } \right) \left( 2+\tan { x } \right) } dx } $ equals:
Question 6 :
If $\int \sin x d (\sec  x) = f(x) - g(x) + c$, then
Question 7 :
$\displaystyle\int { \frac { dx }{ \left( 1+\sqrt { x } \right) \sqrt { x-{ x }^{ 2 } } } } $ is equal to<br>
Question 10 :
$\int \dfrac{cos 2x - cos 2 \theta}{cos x - cos \theta} dx$ is equal to
Question 11 :
If $f\left( \cfrac { 3x-4 }{ 3x+4 } \right) =x+2$, then $\int { f(x) } dx$ is
Question 12 :
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
