Raw Transcript
okay this videos on integration by parts with regards to sin(x) let’s get started 2nd Alpha enter my code for my menu i_n_d_e_x if you watch my other movies your used to this but it’s always good to review. Alpha again 8 and closed parenthesis and again your into my menu we have integration by parts, length of an arc, limits line integral, all in alphabetical order so you can do anything you want here. We’re going to goto integration by parts, with regard to sin(x) I’ll give you an example of what you might want to put in there. We’re going to put in…you have to press Alpha before we put anything in these entry lines here. We’re going to go x times and then we have to go the second to get to the sin function And let’s go 3 times x. And let’s press ENTER twice and it shows you what we have entered we can change it of course, I say it’s okay, and we’re into the equations or into the solving of it. OK, here’s the original function you choose dv. and v is equal to the integral of sin of 3x dx that equals minus cosine 3x divided by 3 and then u is going to be x and then du is going to be 1(dx) here’s the original function again, here’s the formula, v times u minus the integral of v times du dx so we add this, v is equal to minus cosine 3x over 3, and u is equal to x. We have the integral of d, which is minus cosine of 3 of x divided by 3 and times du one and we work it out write this stuff all on your paper as your doing your problem. Exactly as you see it. Here’s your answer equals a minus x cosine 3x divided by 3 plus sin of 3x over 9 plus C. Every Step Calculus dot com, check it out.
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