Cody

# Problem 1031. Composite Trapezoidal Rule for Numeric Integration

Solution 1819830

Submitted on 19 May 2019
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### Test Suite

Test Status Code Input and Output
1   Fail
p=[2 0 -4 0 -1 1]; a=-2; b=4; f = @(x) polyval(p,x); assert(isequal(trapezoidal_rule(f,a,b,1),5280))

Undefined function 'syms' for input arguments of type 'char'. Error in trapezoidal_rule (line 11) syms j; Error in Test1 (line 5) assert(isequal(trapezoidal_rule(f,a,b,1),5280))

2   Fail
p=[2 0 -4 0 -1 1]; a=-2; b=4; f = @(x) polyval(p,x); assert(isequal(trapezoidal_rule(f,a,b,2),2634))

Undefined function 'syms' for input arguments of type 'char'. Error in trapezoidal_rule (line 11) syms j; Error in Test2 (line 5) assert(isequal(trapezoidal_rule(f,a,b,2),2634))

3   Fail
p=[2 0 -4 0 -1 1]; a=-2; b=4; f = @(x) polyval(p,x); assert(isequal(trapezoidal_rule(f,a,b,4),1516.875))

Undefined function 'syms' for input arguments of type 'char'. Error in trapezoidal_rule (line 11) syms j; Error in Test3 (line 5) assert(isequal(trapezoidal_rule(f,a,b,4),1516.875))

4   Fail
p=[2 0 -4 0 -1 1]; a=-2; b=4; f = @(x) polyval(p,x); P=polyint(p); I_correct=polyval(P,b)-polyval(P,a); I=trapezoidal_rule(f,a,b); assert(abs(I-I_correct)<1)

Undefined function 'syms' for input arguments of type 'char'. Error in trapezoidal_rule (line 11) syms j; Error in Test4 (line 7) I=trapezoidal_rule(f,a,b);

5   Fail
p=[2 0 -4 0 -1 1]; a=-2; b=4; f = @(x) polyval(p,x); I = trapezoidal_rule(f,a,b,1000); P=polyint(p); I_correct=polyval(P,b)-polyval(P,a); assert(abs(trapezoidal_rule(f,a,b,1000)-I_correct)<1e-1)

Undefined function 'syms' for input arguments of type 'char'. Error in trapezoidal_rule (line 11) syms j; Error in Test5 (line 5) I = trapezoidal_rule(f,a,b,1000);