Integration by Substitution ● Step 1 Look for some composition fg(x))within the integrand for which the substitution u=g(x), du =g'(x)dx Produces an integral that is expressed entirely in terms of u and du,(may not OK) Step 2 If OK in Step 1,then try to evaluate the resolution integral in terms of u,(may not OK) ● Step 3 If OK in Step 2,then replace u by g(x)to express your final answer in term of x. Integration by Substitution ⚫ Step 1 Look for some composition f(g(x)) within the integrand for which the substitution Produces an integral that is expressed entirely in terms of u and du, (may not OK) ⚫ Step 2 If OK in Step 1, then try to evaluate the resolution integral in terms of u, (may not OK) ⚫ Step 3 If OK in Step 2, then replace u by g(x) to express your final answer in term of x. u g x du g x dx = = ( ), '( )