This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: f ( x ) = x 3 + x is odd. By a property of the denite integral, Z 1-1 ( 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 2-1 sin( x ) e x dx Solution: Again, the general formula for the righthand Riemann sum is R ( f ) = n-1 X i =1 f ( a + i x ) x In our case, a =-1 and n = 100. This means x = b-a n = 2-(-1) 100 = 3 / 100 Now we can simply plug in our values, obtaining Z 2-1 sin( x ) e x dx L ( f ) = 99 X i =1 sin(-1 + i x ) e-1+ i x x...
View Full Document