9 focus : integration by parts integration by parts comes from the product rule d at luv ) Next v which function v ? is. = xb which function is v ? v= In f y ) " 117 7 - 1117 7 txdx = 1149 x t c integration by substitutes vs integration by parts integration by substitution integration by parts comes from . the chain rule from the product rule substitute a new look for a. Fa variable function functions identify comes function function and and. "dx= uvlba - f ! u vdx indefinite us definite integrals f. fly ) dx searching for anti derivative of the function fry ) infinite family of functions can be computed by . guessing integration by substitution. Integration by parts more complicated methods fire . trig substitutes. Cas fba fly ) dx looking for an approximation of the area number can be computed by . left right hand sums approx.