We are asked to use the technique of integration by substitution to evaluate the integral 2X V 4x 2 - 6 dx . The first step is to choose the substitution. Observe that we can rewrite the integral in power form. (2 X V 4x 2 - 6 dx = / 2x ( 4 * 2 - 6 ) 2 / 2 dx A common pattern in integrals that can be evaluated using substitution is an expression raised to a power, multiplied by the derivative of that expression (or a constant multiple of its derivative). In this case, the expression raised to a power is u = 4x2 - 6. The derivative of u is - du dx This pattern ---Select--- | work in this case and we should ---Select