If $x\,.\,a = 0,\,\,x\,.\,b = 0$ and $x\,.\,c = 0$ for some non-zero vector $x$, then the true statement is
→If $f(x) =\left\{ {\begin{array}{*{20}{c}} {\tfrac{{x\,\,.\,\,\ell n\,(\cos \,x)}}{{\ell n\,\,\left( {1\,\, + \,\,{x^2}} \right)}}}&{x\,\, \ne \,\,0} \\ {0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}&{x\,\, = \,\,0} \end{array}} \right.$ then :
→Let $ I_1$ =$\int\limits_0^{\pi \,/\,2} {\,\frac{{\sin x - \cos x}}{{1 + \sin x.\cos x}}\,dx} $ ; $I_2$ =$\int\limits_0^{2\,\pi } {(\,{{\cos }^6}x)dx} $ ; $I_3 $ =$\int\limits_{ - \,\pi \,/\,2}^{\pi \,/\,2} {\,({{\sin }^3}x)dx} $ $\&$ $ I_4 $ =$\int\limits_0^1 {\ln \left( {\frac{1}{x} - 1} \right)\,dx} $ then
→