" 1."(1)/(sqrt(x+a))" ."

Derivative of sin^(-1) ((1)/(sqrt(x + 1))) with respect to x is

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

int_(0)^(1)(1)/(1+sqrt(x))dx

The fourth term of the sequence 1/(1+sqrt(x)),1/(1-x),1/(1-sqrt(x)), ..... is: a. 1/(1-2sqrt(x)) b. 1/(2-sqrt(x)) c. (1+2sqrt(x))/(1-x) d. none of these

int_(0)^(1)(1)/(1+sqrt(x))*dx