" 19."(1)/(1-sin x)

sqrt((1+sin x)/(1-sin x))

" (1) "int(1+sin x)/(1-sin x)dx

Estimate the absolute value of the integral int_(19)^(19)(sin x)/(1+x^(8))dx

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

" 19."int(1)/((e^(x)-1)(e^(x)+3))dx

Find the value of cot^(-1)[(sqrt(1-sin x)+sqrt(1+sin x))/(sqrt(1-sin x)-sqrt(1+sin x))]

(cos x)/(1-sin x)=(1+cos x+sin x)/(1+cos x-sin x)

y= ( 1+sin x)/( 1-sin x)

The value of lim_(xrarr0) {1^((1)/(sin^(2)x)+)2^((1)/(sin^(2)x))+3^((1)/(sin^(2)x))+.....+n^((1)/sin^(2)x)}^(sin^2x) , is