### Find the Antiderivative of: √(6x-1)

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Show Work Step by Step on your TI-89 Calculator Screen

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**Raw Transcript**

This is an antiderivative calculator program or app for transcendentals such as integrating sin of x problems to get to my menu you press second alpha and the letters i_n_d_e_x and then press alpha again to enter the 8 and the open and closed parentheses press enter and your into my menu main menu you scroll down to your choice you can see here there is quadratic equation, quotient rule, relative extrema for graphing by hand speed, trig and a half angles, trig and d/dx, i_d_’s and integrals for trig functions uh… unit tangent vector etc. so you scroll to, in this case you do not want to do sign of uh… x integration or anti derivative and we’ll enter the function here you have to press alpha before you enter anything in my programs any variables uh… let’s do this only takes one integration but it will do to integrations three times x times sin of five times x I show you what your entered you can change it if you want I say it’s okay and were in to the problem uh… you write everything on your paper exactly just see it here you’ll get an A on this problem, that’s for sure. Here’s the formula. And press enter for each screen. And here’s the answer right here. Pretty neat huh? EveryStepCalculus.com. Enjoy my programs pass calculus

How the antiderivative calculator (TI89) solves cos 2x:

~ Bring up the menu and scroll to integrate cosine of x

~ This example requires two integrations which you enter

~ Program will review and ask for changes

~ It shows everything step by step following along screen by screen

This is an antiderivative calculus program for transcendentals such as integrating of cosine of x problems to get to my main menu you press second alpha to enter the letters i_n_d_e_x and then press alpha again to enter the eight and then open and close parentheses you scroll to where your choice is but in this video I’m demonstrating an antiderivative integral for cosine of x notice you have all kinds of choices here, chain rule vectors, component of A direction B, concavity which is graphing integrate cos a to the x you have to press alpha before you enter any of the variables in my programs and we’re going to do an example that requires two integrations such as alpha x squared times cosine of three times x close up the parentheses there. I show you what you’ve entered you can change it if you want. I say it’s okay and you’re into the program you write everything on your paper your to get the step-by-step calculations using this anti derivative calculator notice were uh… we have got dv here we pull out that and then we do the integration of that get sin of three x over three follow along as they are long calculations. press enter put down the formula put down everything you see there’s a second immigration by parts and again going through the formula and here’s the answer here and you can see pretty neat huh? EveryStepCalculus.com go to my site. enjoy my programs and pass calculus.

How the antiderivative calculator (TI-89) solves sin 2x:

~ Bring up the menu and scroll to sin of x integration

~ Enter functions

~ Were doing one integration but the program will do two

~ Program will review whats entered and asks for changes

~ View all steps of answer, press enter for each screen of solution

This is an antiderivative calculator program or app for transcendentals such as integrating sin of x problems to get to my menu you press second alpha and the letters i_n_d_e_x and then press alpha again to enter the 8 and the open and closed parentheses press enter and your into my menu main menu you scroll down to your choice you can see here there is quadratic equation, quotient rule, relative extrema for graphing by hand speed, trig and a half angles, trig and d/dx, i_d_’s and

integrals for trig functions uh… unit tangent vector etcetera so you scroll to, in this case you do not want to do sign of uh… x integration or anti derivative and we’ll enter the function here you have to press alpha before you enter anything in my programs any variables uh… let’s do this only takes one integration but it will do to integrations three times x times sin of five times x. I show you what your entered you can change it if you want I say it’s okay and were in to the problem uh… you write everything on your paper exactly just see it here you’ll get an A on this problem, that’s for sure here’s the formula and press enter for each screen and here’s the answer right here pretty neat huh? everyStepCalculus.com. Enjoy my programs pass calculus.

How the antiderivative calculator (TI89) solves the definite integral:

~ Bring up the menu and scroll to definite integral

~ Enter functions by pressing alpha before

~ Enter your range

~ Program will review and ask for changes

~ It will substitute the lower limit of your function

~ It substitutes upper from lower and produces answer all step by step

This is an antiderivative calculator program or app for a definite integral to get to my main menu you press second alpha to enter the letters i_n_d_e_x and then press alpha again to enter the eight and open and close parentheses and press enter in your into my menu you scroll down to where your choice is but in the video I’m demonstrating a definite antiderivative definite integral so we’re going to scroll down to you can see the difference choices here in the A & B vectors here acceleration chain rule concavity that’s graphing by hand cosign of a to the x integrated i’ve done that and other video uh… integration by parts and so we’re going to school down to cross product definite integral press enter and were into the program for this problem were going to enter our function so we can enter whatever we want here but let’s do the example here you have to press alpha before your can do anything and my entry lines here x squared plus x minus two we have to enter our range as our function here when the rangr alpha two alpha seven and show you what you’ve entered here change it if you know i say it’s ok and here’s the integral of of your function and with regard to the um… parameters for range and substitute the lower limit thats in your function turns out to be a hundred and twenty five and you process the lower limit six sixty seven take the upper from the lower and here’s your answer and divide seven forty five or six to get the approximate answer this is the exact pretty neat huh? EveryStepCalculus.com you write everything down on your paper and my programs here to get everything uh…correct using the the antiderivative calculator program or app enjoy my programs and uh… pass calculus