Compute: {{MATH_317}} {{CMD_318}} We try to guess the antiderivative. Start with a guess of {{MATH_319}} Take the derivative of your guess to see if it is correct: {{MATH_320}} Ah! So we need only multiply our original guess by {{MATH_321}}. We now find {{MATH_322}} {{CMD_323}} {{CMD_324}} {{CMD_325}} Compute: {{MATH_326}} {{CMD_327}} We notice that the numerator is the derivative of the denominator, i.e., the function that we are integrating has the form {{MATH_328}}. {{MATH_329}} Take the derivative of your guess to see if it is correct: {{MATH_330}} Therefore, {{MATH_331}} {{CMD_332}} {{CMD_333}} {{CMD_334}} Compute: {{MATH_335}} {{CMD_336}} We'll start with a guess of {{MATH_337}} Take the derivative of your guess to see if it is correct: {{MATH_338}} We are only off by a factor of {{MATH_339}}, so we need to multiply our original guess by this constant to get the solution, {{MATH_340}} {{CMD_341}} {{CMD_342}}