1 : Evaluate the Integral Sec e + 1 2 : Evaluate -dx (x 2 + 2 ) 3/ a : by trigonometric substitution b : by the hyperbolic substitution x = a sight. 3: Make a substitution to express the integrand as a rational function and then evaluate the integral fvitve dy X 4 : Three integrals are given that , although they look similar , may require different techniques of integration. Evaluate the integrals . a : fex vex I dx b : ex V1 _ eax C : f 1 dx Vex - 1 1 : Evaluate the integral. fx Inx dix 12 - 1 2. Determine whether the integral is convergent of divergent . Evaluate integrals that are convergent . 1 *+ x V x