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Area - AP Calculus - Lecture Notes, Study notes of Calculus

Birla Institute of Technology and ScienceCalculus

This lecture is from AP Calculus. Key important points are: Area, Graphical Calculations, Rules of Integration, Curves, Shaded Area, Finding the Area

Typology: Study notes

2012/2013

Uploaded on 01/31/2013

ekavia
ekavia 🇮🇳

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Download Area - AP Calculus - Lecture Notes and more Study notes Calculus in PDF only on Docsity!

Calculus Section 7.1A LT: Find the Area of a Region between 2 Curves Notes ¢ Graph the functions. e Shade the area of interest (contained between the curves) e Set up an integral to find the area © Integrand: Subtract the “lower” graph from the “upper” graph o Find the limits of integration (graphically & algebraically) Examples Find the area of the region bounded by the graphs of the 2 functions. w-Ux-xt= 8 i) f)=3 tego ma GO) =0 Qt Da-F0 (G-r -x*) &x -3 2) f(x) =—x* + 4x +2 gg) =x4+2 = xKt4Y4x4+ V = x2 © = x*-3~% = ¥(x-3 Meowiks 5 OF} § Grew re x42 dx (osha se) ax s 4%, [-'5> sae) 1/1