Simpsons rule and trapezoidal rule


Assignment:

Find an upper and lower bound for the integral using the comparison properties of integrals.

1∫0 1 /x+2(dx)

Apply the Fundamental Theorem of Calculus to find the derivative of:

h(x)=   x∫2√u-1dx

Evaluate:

4∫1 (4+√x)2 / 2√¯x (dx)

Evaluate:

∫2cos2 xdx

Sketch the region bounded by the graphs of Figure and then find its area.
y= 9-x2 ,y=5-3x

Approximate the integral; n=6, by:
a) first applying Simpson's Rule and
b) then applying the trapezoidal rule.

1^?0x^4dx

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Mathematics: Simpsons rule and trapezoidal rule
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