Ok a video on u substitution with regard to a division function. Let’s get started you press second alpha put the i n d e x letters in you need to press alpha again to put the eight and the open and closed parenthesis press enter and you’re into my menu. I want u substitution which is at the bottom it’s all alphebetical here. So I’m going to go up with the cursor which goes to the bottom and choose u substitution I’m going to enter my function which is press alpha first on anything you enter into my entry lines in my programs press alpha and we got six times x squared divided by the quantity x cubed plus one to the fifth power always use plenty of parenthesis especially in division so they know exactly what your doing what your dividing by very important I show you what you’ve entered in case you’ve made a mistake but I say it’s ok. I press ok I always rewrite things notice you have a constant here you have to bring it outside the integral here it is here times the integral and then you take the x squared what’s left and bring it to the end here where they have dx x squared dx and u equals what’s inside the parenthesis x squared plus one du equals three x squared or that’s x cubed, sorry etcetera you always bring the anytime there is a constant in front of the x or whatever you get here you always divide du divides by three by that and I always ask you if x squared equals x squared. I can’t do it automatically in the calculator and so I need to ask you that if it wasn’t a u substitution problem this would be different and would be integration by parts so u to the minus five is equal to x to the minus five and you do these calculations on your paper put it all down exactly like this and here’s your answer minus one x cubed plus one to the fourth power plus c. Pretty neat huh? everystepcalculus.com. Buy my programs
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