Question Text
Question 1 :
$\int { \sqrt { secx-1 } } dx$ is equal to
Question 5 :
The value of $\displaystyle\int \dfrac{\cos\ 2\ x}{\cos\ x}\ dx$ is equal to
Question 13 :
$\int \frac { \cos x + 2 \sin x } { 7 \sin x - 5 \cos x } d x = a x + b \ln | 7 \sin x - 5 \cos x | + c$ then $a+b$ is
Question 16 : <p>The value of $\displaystyle\int {\dfrac{{\ln n\left( {1 - \left(<br/>{\dfrac{1}{x}} \right)} \right)dx}}{{x\left( {x - 1} \right)}}} $ is </p>
Question 17 :
$\int {{e^x}(\log \sin x + \cot x)\,dx = } \_\_\_\_\_\_ + C.$
Question 18 :
The value of $\int \dfrac { d x } { x \sqrt { 1 - x ^ { 3 } } }$ is equal to
Question 19 :
$\displaystyle\int \dfrac { x - 2 } { x ^ { 2 } - 4 x + 3 } d x =$ 
Question 23 :
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 24 :
$\displaystyle\int { \cfrac { \sqrt { x }  }{ \sqrt { x } -\sqrt [ 3 ]{ x }  }  } dx$ is equal to
Question 26 :
Assertion: If $\displaystyle \Delta (x)= \begin{vmatrix}f(x) &g(x) \\m_{1} &m_{2} \end{vmatrix}$ then<br><br>$\displaystyle \int \Delta (x)=\begin{vmatrix}<br><br>\int f(x)dx &\int g(x)dx \\m_{1} &m_{2}\end{vmatrix}$
Reason: $\displaystyle \int \lambda f(x)dx=\lambda\int f(x)dx$
Question 28 :
$\int \dfrac{cos 2x - cos 2 \theta}{cos x - cos \theta} dx$ is equal to
Question 29 :
$\displaystyle \int \dfrac { \cot ^ { 2 } x } { \left( cosec ^ { 2 } x + cosec x \right) } d x =$
