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Unformatted text preview: f ( x ) = x 3 + x is odd. By a property of the deﬁnite integral, Z 11 ( x 3 + x ) dx = 0 3. (5) Write down, but do not evaluate, an expression for the right hand Riemann sum with n = 100 that approximates Z 21 sin( x ) e x dx Solution: Again, the general formula for the righthand Riemann sum is R ( f ) = n1 X i =1 f ( a + i Δ x )Δ x In our case, a =1 and n = 100. This means Δ x = ba n = 2(1) 100 = 3 / 100 Now we can simply plug in our values, obtaining Z 21 sin( x ) e x dx ≈ L ( f ) = 99 X i =1 sin(1 + i Δ x ) e1+ i Δ x Δ x...
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This note was uploaded on 09/13/2010 for the course MATH math 10b taught by Professor Reed during the Summer '10 term at UCSD.
 Summer '10
 reed
 Math, Angles

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