To integrate sin(x^2), we can use the substitution method. Let u = x^2, then du = 2x dx. We can rewrite the integral as ∫sin(u) * (1/2x) du. Using the formula for the integral of sin(u), we get ∫sin(u) * (1/2x) du = -(1/2x) * cos(u) + C = -(1/2x) * cos(x^2) + C. Therefore, the integral of sin(x^2) is -(1/2x) * cos(x^2) + C.