Chads blogggggg

I think that the stuff we are doing now isnt that hard even though I missed a bunch of it being sick and all. We've learned how to find area dealing with definite integrals and how to find LRAM, RRAM, TRAP, AND MRAM. All of these are similar. To first start these problems it's best to draw the graph to give you a visual of how many shapes they have, and what sides are going to touch the x-axis. After figuring out the graph, for LRAM and RRAM your going to take the bounds and subtract them, then divide it by the amount of rectangles. This will be your delta x. Then, your going to take the the amount of rectangles and plug them into the the equation. The answers you get will be used to find LRAM and RRAM, and to find area you will take the delta x, and multiply them by the answers you got when plugging into the equation (Don't forget to add all the equation answers together and multiply each one by delta x). Now to find TRAP you plug into the formula 1/2(LRAM+RRAM). To find the area follow the formula: 1/2(b1+b2)h. Lastly for MRAM you divide the rectangles that you draw on the graph to find the midpoint(point in between the two whole number parts). Plug the numbers you find into the original equation, and add them togetherxdelta x.

TRAM:

Use the Trapezoidal Rule to approximate (-x^2+4) dx, with the bounds x=0, x=3. How can you get a better answer?
1.We're going to plug in -0,-1,-2, and -3 into the original equation to get 4,3,0, and -5.
2.Now plug into the formula 1/2(b1+b2)h, to get 5/2
3.The answer would be 5/2