Integration
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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:
∫2cos^2 xdx
Sketch the region bounded by the graphs of Figure and then find its area.
y= 9-x^2,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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Solution Summary
Integrals, area under the curve, Simpson's rule, trapezoidal rule and the fundamental theorem of calculus are investigated.
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