Question

Use Definition 5.4.3 with \( x_{k}^{*} \) as the right endpoint of each subinterval to find the area under the curve \( y=f(x) \) over the specified interval. 35. \( f(x)=x / 2 ;[1,4] \) 36. \( f(x)=5-x ;[0,5] \) 37. \( f(x)=9-x^{2} ;[0,3] \) 38. \( f(x)=4-\frac{1}{4} x^{2} ;[0,3] \) 39. \( f(x)=x^{3} ;[2,6] \) 40. \( f(x)=1-x^{3} ;[-3,-1] \)

Answer

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