butalier
use trapezoid rule to evaluate . Use n=4 integral 1 to 3 (sqrt(1+x^3)dx



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aama100
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ANSWER:
Trapeziodal's Rule result = 0.0529224 Error = 0.000352592
Midpoint's Rule result = 0.0523936 Error = 0.000176241
Simpson's Rule result = 0.0525704 Error = 5.82087*10^7

butalier
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but how to do it?

aama100
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that's a bit long process

amistre64
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[(ba)/n] [f(a)+f(b)+1/2(f(all the rest))] right?

butalier
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do you know how to fid the tangent line approximation of f(x)=sin2x+cosx at (pi/2. 0)

amistre64
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it looks doable

amistre64
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you mean the equation of the tangent line at (pi/2,0) right?

butalier
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i know how to find the equation but
approximating making some boxes i dont know

amistre64
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derive the function and solve it for the input values to get the 'slope' of yout line equation

amistre64
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f'(x) = 2cos(2x)sin(x) right?

amistre64
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or am i thinking of something else lol

butalier
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ok yes thats right