(ii)quad L_(t)t_(xz)((pi)/(2)-x)tan x

if L=lim_(x rarr pi)(tan(pi cos^(2)x))/((x-pi)^(2)) then (L)/(pi) is equal to:

x=t cos t,y=t+sin t. Then (d^(2)tau)/(dy^(2)) at t=(pi)/(2) is (pi+4)/(2)(b)-(pi+4)/(2)-2(d) none of these

Find the differentiable function which satisfies the equation f(x)=-int_(0)^(x)f(t)tan tdt+int_(0)^(x)tan(t-x)dt where x in(-(pi)/(2),(pi)/(2))

L i m i t\ l=(lim)_(x->oo)(pi/2-t a n^-1\ x)/(ln(1-1/x)) equals

If f(x)=e^(x)+int_(0)^(sin x)(e^(t)dt)/(cos^(2)x+2t sin x-t^(2))AA x in(-(pi)/(2),(pi)/(2)),then

The value of Lt_(t rarr0)(1)/(t)(int_(0)^( pi)tan(t sin x)dx) equals

The value of lim_(x rarr a)(2-(a)/(x))^(tan((pi x)/(2t))) is:

Prove that (tan(pi/4+x))/(tan(pi/4-x))=((1+t a n x)/(1-t a n x))^2

Plot the graph of the function f(x)=lim_(t rarr0)((2x)/(pi)(tan^(-1)x)/(t^(2)))