" 10."sin(x)/(1+x)

|int_(10)^(19) (sin x)/(1+x^(8))dx| is less than

Let f(x)=[(sin x)/(x)]+[(2sin2x)/(x)]+...+[(10sin10x)/(x)] (where [.1 is the greatest integer function) Then the value of lim_(x rarr0)f(x) equals 55 (b) 164 (c) 165 (d) 375

if a=(1+sin x)/(1-cos x+sin x) then (1+cos x+sin x)/(2sin x) is

Prove that sin x=2^(10) sin((x)/(2^(10))) cos (x/2) cos (x/2^(2))......cos((x)/(2^(10))) .

cot^(-1)((sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x)))=(x)/(2)

If sin^(-1)x+sin^(-1)(1-x)=sin^(-1)sqrt(1-x^(2)), then x is equal to

If y= sqrt ((1-sin 10 x )/( 1+sin 10x ) ) ,then (dy)/(dx) =

If x(3-x)<=2 then sin^(-1)(x)+sin^(-1)(x^(2))+......+sin^(-1)(x^(10))=