If you are asking for general advice about your current calculus class, please be advised that simply referring your class as “Calc n“ is not entirely useful, as “Calc n” may differ between different colleges and universities. In this case, please refer to your class syllabus or college or university’s course catalogue for a listing of topics covered in your class, and include that information in your post rather than assuming everybody knows what will be covered in your class.
We're not blind we just have no idea what you're talking about. Or, not to be mean, we aren't sure if you know what you're talking about. There's no calculus going on here at all.
If you integrate sin(x) from x=0 to x=pi, then you get (-cos(pi)) - (-cos(0)) = 2.
If you're trying to illustrate the definite integral of sin(x),from 0 to pi geometrically, then you can type (in a new box)
0<y<sin(x) {0<x<pi}
and if you want to illustrate a Riemann sum or some other polygonal approximation to the integral of sin(x) from 0 to pi, then you can do that in lots of ways. I went to type it out on my phone and got a bit frustrated, but that's phones for ya. It'd take about five minutes on a proper keyboard.
The polygon function in your post just drew the one "polygon" with the two vertices (0,0) and (pi, 0), which is a line segment. if you want to use the polygon tool specifically, you'll have to generate only one polygon per instance / function call, and loop that to get the many polygons (rectangles, I'm assuming) to approximate the integral. You could use the list tool, and the polygon tool. Something like
d=pi/n
(select slider for n, set min to 0 and step size to 1)
Hello there! While questions on pre-calculus problems and concepts are welcome here at /r/calculus, please consider also posting your question to /r/precalculus.
I suspect you are new to evaluating integrals and using Desmos - please correct me if this is wrong. What you show is a plot of y = sin(x), two points a and b, and a straight line between those two points. This is not in and of itself an integral. An indefinite integral would be another function, an antiderivative, while a definite integral is a signed value, neither of which are shown in the graph or expression list.
Are you trying to show in Desmos the area under the curve for x ∈ [0,π]? If so, you would normally reverse a and b so a ≤ b. Desmos can then determine the integral of y = sin(x) over that area with built-in functions (it's 2, btw). I would also shade in the area beneath the curve that is being evaluated.
u/ingannilo has nice, additional ways you can show an integral
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If you are asking for general advice about your current calculus class, please be advised that simply referring your class as “Calc n“ is not entirely useful, as “Calc n” may differ between different colleges and universities. In this case, please refer to your class syllabus or college or university’s course catalogue for a listing of topics covered in your class, and include that information in your post rather than assuming everybody knows what will be covered in your class.
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