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ok this video is on u substitution with regard to
cosign applications or functions let's get started
press second alpha to put the i n d e x in here
and then you press alpha to put the eight and
the open and closed parenthesis press enter and you're into my menu
I'm going to go to the bottom of the menu so I'm going to go up with the cursor
which goes to the bottom here u substitution
and I'm going to enter the function you have to press alpha before you enter
any function in my entry lines there in my programs
and were going to go five times x times cosign three times x squared
close off the parenthesis I always show you what you've entered
in case you've made a mistake but that's correct
press ok an integral like this you always take
any constant and put it to the outside so you got to re write this
you rewrite it like this and take the x and put it over to the dx
remember where the x dx is for just a second here
u equals three x squared inside the parenthesis inside the cosign there
and du equals six x dx you always bring the six over and divide
the du by six and leave the x
you'll notice this x dx is the same as the one I just should you before
that makes it a u substitution if it didn't have that
of course I ask you that I check that for you
and notice that x equals x so i'm going to say yes
and here you go through all the calculations write all this down on your paper here
and here is the answer five over six times sign of three times x
squared plus c pretty neat huh
every step calculus dot come go to my site
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