Calculus2

# Calculus2 - Section 6.1 Area between two curves Recall Area...

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Section 6.1: Area between two curves

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  Recall: Area under graph of f x was ( ) b a f x dx The Riemann Integral is the limit of Riemann Sum * 1 ( ) lim ( ) b n kk x k a f x dx f x x    2 : Find area between y=2-x and x-axis between x=- 2 and x= 2 Eg * () f x x 2 2 3 2 2 2 2 2 3.7712 3 x x dx x   
2 The Riemann sum beco (2 ) ( mes ) xx dx   2 : Find area enclosed y = 2 - x and y = -x Eg   2 2 1 ) 9 2 2( d x x x  2 1. Draw rectangle width= height = top - bottom (2-x ) = ) x - (-x 2 2. Find limits by graphing or solving 2-x x  2 x 2 0 ( 2)( 1) 0 1,2 x x   

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between 0, the height is sinx but between ,2 the height is 0-sinx  : Find area between f (x) = sin(x), y = 0, x = 0 and x = 2 Eg     11 ** sin 0 0 sin

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Calculus2 - Section 6.1 Area between two curves Recall Area...

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