`T h e v a l u e o flim_(x-gt3^+)(|x-3|)/(x-3)e q u a l s( 1)1`

L e tA=int_0^oo(logx)/(1+x^3)dxdotT h e nfin dt h ev a l u eofint_0^oo(xlogx)/(1+x^3)dx in terms of Adot

If f(x)=|x^2-5x+6|,t h e nf^(prime)(x)e q u a l s

E v a l u a t e:int(x^4+x^2+1)/(x^2-x+1)dxdot

: If f(x)={x^2+2,xgeq2 1-x ,x 1, 3-x , xlt=0,t h e nt h ev a l u eoflim_(x->1)f(g(x))i s__

Iff(x)=x+int_0^1t(x+t)f(t)dt ,t h e nt h ev a l u eof(23)/2f(0) is equal to _________

A function is reprersented parametrically by the equations x=(1+t)/(t^3); y=3/(2t^2)+2/tdotT h e nt h ev a l u eof(dy)/(dx)-x((dy)/(dx))^3 is__________

A function is reprersented parametrically by the equations x=(1+t)/(t^3); y=3/(2t^2)+2/tdotT h e nt h ev a l u eof|(dy)/(dx)-x((dy)/(dx))^3| is__________

A function is reprersented parametrically by the equations x=(1+t)/(t^3); y=3/(2t^2)+2/tdotT h e nt h ev a l u eof|(dy)/(dx)-x((dy)/(dx))^3| is__________

A function is reprersented parametrically by the equations x=(1+t)/(t^3); y=3/(2t^2)+2/tdotT h e nt h ev a l u eof|(dy)/(dx)-x((dy)/(dx))^3| is__________

IfI=int(dx)/(secx+cos e cx),t h e nIe q u a l s