`int(1+x+sqrt(x+x^2))/(sqrt(x)+sqrt(1+x))dxi se q u a lto` `1/2sqrt(1+x)C` (b) `2/3(1+x)^(x/2)+C` `sqrt(1+x)+c` (d) `3/2(1+x)^(3/2)+C`

int(1)/(sqrt(3x+2)+sqrt(3x+1))

int_(1)^(5)(sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1)))dx =

If x= sqrt3/2 , then the value of (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) is equal to: यदि x= sqrt3/2 , (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) का मान ज्ञात करें :

If int(x)/(sqrt(1+x^(2)+sqrt((1+x^(2))^(3))dx))=k sqrt(1+sqrt(1+x^(2))+c. find k)

sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1))>(3)/(2)

int(xdx)/(sqrt((1+x^2)+sqrt((1+x^2)^3)))= (a) 1/2ln(1+sqrt(1+x^2))+c (b) 2sqrt(1+sqrt(1+x^2))+c (c) 2(1+sqrt(1+x^2))+c (d) 4sqrt(1+sqrt(1+x^2))+c

int_( then )^( If )sqrt((1-x)/(1+x))(dx)/(x)=log((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))+2f(x)+C

int(1)/(sqrt(sin^(3)x cos x))dx is equal to :(A)-(2)/(sqrt(cos x))+c(B)(2)/(sqrt(tan x))+c(C)(2)/(sqrt(cot x))+c(D)(2)/(sqrt(tan x))+c

If int_(0)^(b)(1)/(sqrt(1+x)-sqrt(x))dx=(2)/(3)(2sqrt(2)) , then b =

int_( then )^( if )(dx)/((2x+1)sqrt(x-2))dx=sqrt(a).tan^(-1)sqrt(b(x-2))+c