Question

Evaluate $\textstyle\int{\frac{2}{1+\cos2x}}\,d x$

If a matrix has 5 elements, then write all possible orders it can have.

If f : R → R and g : R → R are given by f(x) = sin x and g(x) = 5x² then find gof(x)

Evaluate $\textstyle\int{\frac{\cos{\sqrt{x}}}{\sqrt{x}}}\,d x\ .$

If A = $\left(\begin{array}{l l }1 & 2 \\ 3 & 4\end{array}\right)$ then find A + A’.

Find the maximum value of $\begin{vmatrix}1 & 1 & 1 \\ 1 & 1+sinθ & 1 \\ 1 & 1 & 1+cosθ\end{vmatrix}$

Write the element $a_{23}$ of a 3 × 3 matrix A = ($a_{i j}$) whose elements $a_{i j}$ are given by $a_{i j}=\frac{|i-j|}{2}$