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1 #include <iostream>
2 #include <cmath>
3 #include <string>
4
5 using namespace std;
6 double func_1 (double x);
7 double func_2 (double x);
8 double func_3 (double x);
9 double func_4 (double x);
10 double func_5 (double x);
11 double f(double x);
12
13 int main () {
14 int function, area_method, n, answer;
15 double a, b, area, w, h, x;
16
17
18 cout << "Would you like to find the area under a function?(1 for yes and 2 for no)" << endl;
19 cin >> answer;
20 while(answer==2){
21 return 0;
22 }
23
24 while(answer==1){
25
26 cout << "Choose a function (1, 2, 3, 4, 5): " << endl;
27 cin >> function;
28
29 cout << "Would you like to calculate the area using the rectangle, trapezoid, or both (1, 2, 3):" << endl;
30 cin >> area_method;
31
32 if(area_method == 1){
33 cout << "What is the left x value? " << endl;
34 cin >> a;
35 cout << "What is the right x value? " << endl;
36 cin >> b;
37 cout << "How many pieces are there? " << endl;
38 cin >> n;
39
40 w = (b-a)/n;
41
42 h = f(x);
43
44 for(int i=1; i<n; i++) {
45 h += f(a+i*w);
46
47
48 area = h*w;
49
50 while (function==5){
51 cout << "The area under the curve of f5(x) is " << area <<endl;
52 return 2*x*x;
53 }
54 while(function==4) {
55 cout << "The area under the curve of f4(x) is " << area << endl;
56 return 2*x*x*x+120;
57 }
58 while(function==3) {
59 cout << "The area under the curve of f3(x) is " << area << endl;
60 return 5*x+3;
61 }
62 while(function==2) {
63 cout << "The area under the curve of f2(x) is " << area << endl;
64 return 6*x*x-x+10;
65 }
66 while(function==1) {
67 cout << "The area under the curve of f1(x) is " << area << endl;
68 return 2*x*x*x*x*x+x*x*x-10*x+2;
69 }
70 }
71 }
72 else if(area_method == 2){
73
74 cout << "What is the left x value? " << endl;
75 cin >> a;
76 cout << "What is the right x value? " << endl;
77 cin >> b;
78 cout << "How many pieces are there? " << endl;
79 cin >> n;
80
81 w = (b-a)/n;
82
83 h = (f(a)+f(b))/2;
84
85 for(int i=1; i<n; i++) {
86 h += f(a+i*w);
87 }
88
89 area = h*w;
90 while (function==5){
91 cout << "The area under the curve of f5(x) is " << area << endl;
92 return 2*x*x;
93 }
94 while(function==4) {
95 cout << "The area under the curve of f4(x) is " << area << endl;
96 return 2*x*x*x+120;
97 }
98 while(function==3) {
99 cout << "The area under the curve of f3(x) is " << area << endl;
100 return 5*x+3;
101 }
102 while(function==2) {
103 cout << "The area under the curve of f2(x) is " << area << endl;
104 return 6*x*x-x+10;
105 }
106 while(function==1) {
107 cout << "The area under the curve of f1(x) is " << area << endl;
108 return 2*x*x*x*x*x+x*x*x-10*x+2;
109 }
110 }
111 else {
112 cout << "What is the left x value? " << endl;
113 cin >> a;
114 cout << "What is the right x value? " << endl;
115 cin >> b;
116 cout << "How many pieces are there? " << endl;
117 cin >> n;
118
119 w = (b-a)/n;
120
121 h = f(x);
122
123 for(int i=1; i<n; i++) {
124 h += f(a+i*w);
125 }
126
127 area = h*w;
128
129 while (function==5){
130 cout << "The area under the curve of f5(x) is " << area << endl;
131 return 2*x*x;
132 }
133 while(function==4) {
134 cout << "The area under the curve of f4(x) is " << area << endl;
135 return 2*x*x*x+120;
136 }
137 while(function==3) {
138 cout << "The area under the curve of f3(x) is " << area << endl;
139 return 5*x+3;
140 }
141 while(function==2) {
142 cout << "The area under the curve of f2(x) is " << area << endl;
143 return 6*x*x-x+10;
144 }
145 while(function==1) {
146 cout << "The area under the curve of f1(x) is " << area << endl;
147 return 2*x*x*x*x*x+x*x*x-10*x+2;
148 }
149
150
151 cout << "What is the left x value? " << endl;
152 cin >> a;
153 cout << "What is the right x value? " << endl;
154 cin >> b;
155 cout << "How many pieces are there? " << endl;
156 cin >> n;
157
158 w = (b-a)/n;
159
160 h = (f(a)+f(b))/2;
161
162 for(int i=1; i<n; i++) {
163 h += f(a+i*w);
164 }
165
166 area = h*w;
167
168 while (function==5){
169 cout << "The area under the curve of f5(x) is " << area << endl;
170 return 2*x*x;
171 }
172 while(function==4) {
173 cout << "The area under the curve of f4(x) is " << area << endl;
174 return 2*x*x*x+120;
175 }
176 while(function==3) {
177 cout << "The area under the curve of f3(x) is " << area << endl;
178 return 5*x+3;
179 }
180 while(function==2) {
181 cout << "The area under the curve of f2(x) is " << area << endl;
182 return 6*x*x-x+10;
183 }
184 while(function==1) {
185 cout << "The area under the curve of f1(x) is " << area << endl;
186 return 2*x*x*x*x*x+x*x*x-10*x+2;
187 }
188 }
189 }
190 }
191 double func_1(double x){
192 }
193 double func_2(double x){
194 }
195 double func_3(double x){
196 }
197 double func_4(double x){
198 }
199 double func_5(double x){
200 }
201 double f(double x){
202 }
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