This integral is solved by using the power rule. Move the the constant –4 to the outstide of the integral, then convert the radical √x to a fractional exponent and convert the fraction 1/x to a negative exponent x^{–1}. Combine the two exponents x^{1/2}·x^{–1} = x^{–1/2} and solve –4 ∫ x^{–1/2}dx using the power rule with n = –1/2. Since n + 1 = 1/2, we get

= –4 ∫ x^{1/2} x^{–1} dx  
= –4 ∫ x^{–1/2} dx  


= –8√x + C 