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

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

int_( to )(x^(2)-1)/(x sqrt(x^(2)+alpha x+1)sqrt(x^(2)+beta x+1))dx is equal

(1)/(sqrt(x)+sqrt(x+1))+(1)/(sqrt(x+1)+sqrt(x+2))+(1)/(sqrt(x+2)+sqrt(x+3))+...(1)/(sqrt(x+98)+sqrt(x+99))

int (x+sqrt(1+x^(2)))(1+(x)/(sqrt(1+x^(2))))dx=

lim_(x rarr1)(x^(2)-sqrt(x))/(sqrt(x)-1)

lim_(x rarr1)(x^(2)-sqrt(x))/(sqrt(x-1))

Evaluate the following limits : Lim_(x to 1) (x^(2)-sqrt(x))/(sqrt(x)-1)

(v)int e^x(sqrt(1-x^(2))-(x)/(sqrt(1-x^2))dx)