Question

Write value of $\textstyle\int$ sec x(sec x + tan x) dx

Write fog, if f : R → R and g : R → R are given by f(x) = |x| and g(x) = |5x - 2|.

If $\stackrel{\rightarrow}{a}\$ =$4\stackrel{\wedge}{i}-\stackrel{\wedge}{j} +\stackrel{\wedge}{k}$ and $\stackrel{\rightarrow}{b}\$ =$2\stackrel{\wedge}{i}-2\stackrel{\wedge}{j} +\stackrel{\wedge}{k}$ then find a unit vector parallel to the vector $\stackrel{\rightarrow}{a}+\stackrel{\rightarrow}{b}$

If A is square matrix of order 2 and $|a d j A|=9,$ , find | A |.

Evaluate: $\textstyle\int\cot{x}(cosec x-1)e^{x}d x$ .

Find the scalar components of the vector $\stackrel{\rightarrow}{A B}$ with initial point A(2,1) and terminal point B (– 5, 7).

If A is a square matrix such that A² = I, then find the simplified value of (A – I)³ + (A + I)³ – 7A.