Which of the following integrals cannot be evaluated using a simple substitution?

the integral of the square root of the quantity x minus 1, dx
the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx
the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx
the integral of x times the square root of the quantity x squared minus 1, dx

1 answer

#2 and #3 are the same.

#1: u = x-1
#4: u = x^2-1