Chapter 2
detailed summary tables of results

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 471, 472, 473 }

B grade: { }

C grade: { }

F grade: { 470, 474 }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 163, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 206, 207, 208, 209, 212, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 244, 249, 254, 258, 264, 270, 275, 280, 291, 292, 293, 294, 295, 296, 297, 298, 299, 301, 302, 303, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 351, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 374, 375, 376, 377, 378, 379, 380, 381, 382, 384, 385, 386, 387, 388, 389, 390, 391, 392, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 435, 436, 437, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 470, 471, 472, 473, 474 }

B grade: { 85, 205, 210, 211, 213, 373, 383, 469 }

C grade: { 7, 54, 55, 56, 102, 111, 112, 156, 157, 158, 159, 160, 161, 162, 164, 165, 166, 167, 168, 169, 170, 171, 187, 240, 241, 242, 243, 245, 246, 247, 248, 250, 251, 252, 253, 255, 256, 257, 259, 260, 261, 262, 265, 266, 267, 268, 269, 271, 272, 273, 274, 276, 277, 278, 279, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 350, 352, 353, 354, 355, 356, 357, 358, 359, 393, 394, 395, 396, 397, 398 }

F grade: { 28, 83, 84, 263, 300, 304, 432, 433, 434, 438 }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 9, 10, 11, 12, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 34, 47, 82, 87, 88, 89, 90, 97, 98, 99, 106, 107, 108, 122, 123, 124, 125, 127, 128, 129, 130, 131, 132, 133, 134, 136, 137, 138, 139, 140, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 163, 164, 165, 166, 167, 172, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 194, 195, 196, 197, 198, 199, 200, 201, 206, 207, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 230, 231, 232, 237, 238, 240, 241, 242, 243, 244, 245, 247, 249, 254, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 275, 280, 282, 288, 290, 300, 302, 303, 304, 306, 307, 308, 309, 312, 313, 314, 315, 316, 317, 318, 319, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 336, 337, 338, 339, 340, 341, 342, 343, 344, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 357, 358, 359, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 383, 387, 388, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 404, 411, 431, 434, 435, 436, 437, 438, 449, 450, 455, 456, 461, 462, 466, 469, 473, 474 }

B grade: { 5, 6, 7, 8, 14, 15, 31, 32, 33, 39, 43, 44, 45, 46, 48, 52, 57, 58, 59, 60, 70, 71, 72, 75, 76, 77, 79, 80, 81, 91, 92, 93, 94, 95, 96, 100, 101, 102, 103, 104, 105, 109, 110, 111, 112, 113, 115, 116, 117, 120, 121, 126, 158, 159, 160, 161, 162, 168, 169, 170, 171, 193, 202, 203, 204, 205, 208, 209, 210, 211, 212, 213, 214, 227, 228, 229, 233, 234, 235, 236, 239, 246, 248, 250, 251, 252, 253, 255, 256, 257, 271, 272, 273, 274, 276, 277, 278, 279, 284, 286, 320, 321, 322, 335, 356, 386, 432, 433 }

C grade: { 35, 36, 37, 38, 40, 41, 42, 49, 50, 51, 53, 54, 55, 56, 62, 63, 64, 66, 67, 68, 281, 283, 285, 287, 289 }

F grade: { 13, 28, 61, 65, 69, 73, 74, 78, 83, 84, 85, 86, 114, 118, 119, 135, 141, 142, 173, 174, 175, 291, 292, 293, 294, 295, 296, 297, 298, 299, 301, 305, 310, 311, 345, 360, 379, 380, 381, 382, 384, 385, 389, 400, 401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 451, 452, 453, 454, 457, 458, 459, 460, 463, 464, 465, 467, 468, 470, 471, 472 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 12, 20, 21, 27, 29, 46, 72, 82, 87, 88, 89, 90, 97, 98, 99, 106, 107, 108, 125, 146, 154, 172, 176, 181, 220, 244, 249, 254, 258, 264, 270, 275, 280, 304, 307, 308, 309, 312, 333, 336, 337, 340, 341, 342, 343, 344, 346, 347, 348, 349, 350, 351, 361, 362, 363, 365, 366, 367, 368, 369, 370, 371, 372, 373, 375, 376, 377, 378, 387, 388, 399, 400, 404, 411, 431, 435, 436, 437, 449, 450, 455, 456, 461, 462, 466, 470, 473 }

B grade: { 122, 123, 124, 177, 178, 179, 180, 183, 184, 186, 195, 315, 322, 328, 329, 331, 332, 335, 338, 339, 386 }

C grade: { }

F grade: { 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 91, 92, 93, 94, 95, 96, 100, 101, 102, 103, 104, 105, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 147, 148, 149, 150, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 173, 174, 175, 182, 185, 187, 188, 189, 190, 191, 192, 193, 194, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 245, 246, 247, 248, 250, 251, 252, 253, 255, 256, 257, 259, 260, 261, 262, 263, 265, 266, 267, 268, 269, 271, 272, 273, 274, 276, 277, 278, 279, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 305, 306, 310, 311, 313, 314, 316, 317, 318, 319, 320, 321, 323, 324, 325, 326, 327, 330, 334, 345, 352, 353, 354, 355, 356, 357, 358, 359, 360, 364, 374, 379, 380, 381, 382, 383, 384, 385, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 432, 433, 434, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 451, 452, 453, 454, 457, 458, 459, 460, 463, 464, 465, 467, 468, 469, 471, 472, 474 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 9, 10, 11, 12, 20, 21, 25, 26, 27, 29, 30, 82, 87, 88, 89, 90, 97, 98, 99, 106, 107, 108, 115, 116, 117, 122, 123, 124, 125, 127, 128, 129, 130, 131, 132, 133, 134, 138, 139, 140, 146, 150, 154, 172, 176, 180, 181, 184, 191, 192, 195, 201, 220, 226, 232, 238, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 312, 313, 314, 315, 320, 321, 322, 327, 328, 329, 330, 331, 332, 336, 337, 340, 341, 342, 343, 344, 346, 347, 348, 349, 350, 351, 361, 362, 363, 365, 366, 367, 368, 369, 370, 371, 372, 375, 376, 377, 378, 386, 387, 388, 390, 391, 392, 399, 400, 401, 402, 403, 404, 408, 409, 410, 411, 415, 416, 431, 435, 436, 437, 439, 440, 441, 442, 449, 450, 451, 452, 453, 454, 455, 456, 461, 462, 463, 464, 465, 466, 470, 471, 472, 473, 474 }

B grade: { 6, 7, 8, 93, 94, 95, 103, 177, 178, 179, 183, 185, 186, 187, 188, 189, 190, 197, 198, 199, 200, 206, 207, 208, 209, 214, 335, 373, 469 }

C grade: { }

F grade: { 5, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 28, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 91, 92, 96, 100, 101, 102, 104, 105, 109, 110, 111, 112, 113, 114, 118, 119, 120, 121, 126, 135, 136, 137, 141, 142, 143, 144, 145, 147, 148, 149, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 173, 174, 175, 182, 193, 194, 196, 202, 203, 204, 205, 210, 211, 212, 213, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 227, 228, 229, 230, 231, 233, 234, 235, 236, 237, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 310, 311, 316, 317, 318, 319, 323, 324, 325, 326, 333, 334, 338, 339, 345, 352, 353, 354, 355, 356, 357, 358, 359, 360, 364, 374, 379, 380, 381, 382, 383, 384, 385, 389, 393, 394, 395, 396, 397, 398, 405, 406, 407, 412, 413, 414, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 432, 433, 434, 438, 443, 444, 445, 446, 447, 448, 457, 458, 459, 460, 467, 468 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 9, 10, 11, 12, 20, 21, 25, 26, 27, 29, 30, 87, 88, 89, 90, 97, 98, 99, 106, 107, 108, 115, 116, 117, 122, 123, 124, 125, 131, 132, 133, 134, 138, 139, 140, 146, 150, 154, 172, 176, 177, 178, 179, 180, 181, 188, 189, 190, 191, 192, 197, 198, 199, 200, 201, 206, 207, 208, 209, 214, 220, 226, 232, 238, 244, 249, 254, 264, 270, 275, 282, 283, 284, 300, 302, 303, 304, 306, 307, 308, 309, 312, 320, 321, 322, 327, 328, 329, 330, 331, 332, 336, 337, 340, 341, 342, 343, 344, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 361, 362, 363, 366, 367, 368, 369, 370, 371, 372, 373, 375, 376, 377, 378, 386, 387, 388, 399, 400, 437, 439, 440, 441, 442, 449, 450, 451, 452, 453, 454, 455, 456, 461, 462, 464, 465, 466, 473, 474 }

B grade: { }

C grade: { 365, 380, 381, 382, 384, 385 }

F grade: { 5, 6, 7, 8, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 28, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 91, 92, 93, 94, 95, 96, 100, 101, 102, 103, 104, 105, 109, 110, 111, 112, 113, 114, 118, 119, 120, 121, 126, 127, 128, 129, 130, 135, 136, 137, 141, 142, 143, 144, 145, 147, 148, 149, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 173, 174, 175, 182, 183, 184, 185, 186, 187, 193, 194, 195, 196, 202, 203, 204, 205, 210, 211, 212, 213, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 227, 228, 229, 230, 231, 233, 234, 235, 236, 237, 239, 240, 241, 242, 243, 245, 246, 247, 248, 250, 251, 252, 253, 255, 256, 257, 258, 259, 260, 261, 262, 263, 265, 266, 267, 268, 269, 271, 272, 273, 274, 276, 277, 278, 279, 280, 281, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 301, 305, 310, 311, 313, 314, 315, 316, 317, 318, 319, 323, 324, 325, 326, 333, 334, 335, 338, 339, 345, 360, 364, 374, 379, 383, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 438, 443, 444, 445, 446, 447, 448, 457, 458, 459, 460, 463, 467, 468, 469, 470, 471, 472 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 11, 12, 16, 17, 18, 19, 20, 21, 25, 26, 27, 29, 30, 82, 87, 124, 125, 127, 131, 132, 133, 134, 138, 139, 140, 143, 144, 145, 146, 148, 149, 150, 151, 152, 153, 154, 163, 164, 165, 176, 177, 178, 179, 180, 181, 192, 216, 217, 218, 219, 220, 226, 232, 238, 244, 249, 254, 258, 259, 260, 261, 262, 263, 264, 270, 275, 280, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 335, 336, 337, 340, 341, 342, 343, 344, 361, 362, 363, 365, 375, 376, 377, 378, 386, 387, 388, 399, 400, 404, 411, 416, 431, 435, 436, 437, 439, 440, 441, 442, 449, 450, 451, 452, 453, 454, 455, 456, 461, 462, 466, 473, 474 }

B grade: { 6, 9, 10, 22, 23, 24, 88, 89, 90, 97, 98, 99, 106, 107, 108, 115, 116, 117, 122, 123, 128, 129, 130, 147, 155, 156, 157, 158, 159, 160, 161, 162, 183, 184, 185, 186, 187, 188, 189, 190, 191, 195, 197, 198, 199, 200, 201, 206, 207, 208, 209, 214, 215, 221, 222, 223, 224, 225, 227, 228, 229, 230, 231, 233, 234, 235, 236, 237, 239, 240, 241, 242, 243, 245, 246, 247, 248, 250, 251, 252, 253, 255, 256, 257, 346, 347, 348, 349, 350, 351, 366, 367, 368, 369, 370, 371, 372, 373, 469 }

C grade: { }

F grade: { 5, 7, 8, 13, 14, 15, 28, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 91, 92, 93, 94, 95, 96, 100, 101, 102, 103, 104, 105, 109, 110, 111, 112, 113, 114, 118, 119, 120, 121, 126, 135, 136, 137, 141, 142, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 182, 193, 194, 196, 202, 203, 204, 205, 210, 211, 212, 213, 265, 266, 267, 268, 269, 271, 272, 273, 274, 276, 277, 278, 279, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 310, 311, 333, 334, 338, 339, 345, 352, 353, 354, 355, 356, 357, 358, 359, 360, 364, 374, 379, 380, 381, 382, 383, 384, 385, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 414, 415, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 432, 433, 434, 438, 443, 444, 445, 446, 447, 448, 457, 458, 459, 460, 463, 464, 465, 467, 468, 470, 471, 472 }

2.1.8 Mupad

A grade: { 20, 21, 25, 26, 27, 29, 30, 82, 87, 146, 150, 154, 172, 176, 220, 226, 232, 238, 244, 249, 254, 258, 264, 270, 275, 280, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 312, 336, 337, 431, 435, 436, 449, 450, 455, 456, 461, 462 }

B grade: { 3, 4, 12, 125, 134, 140, 181, 192, 201, 209, 214, 327, 328, 329, 330, 331, 332, 343, 344, 345, 346, 360, 363, 364, 372, 373, 374, 375, 376, 388, 399, 400, 404, 411, 437, 438, 466, 469, 472, 473, 474 }

C grade: { }

F grade: { 1, 2, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 28, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129, 130, 131, 132, 133, 135, 136, 137, 138, 139, 141, 142, 143, 144, 145, 147, 148, 149, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 173, 174, 175, 177, 178, 179, 180, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 193, 194, 195, 196, 197, 198, 199, 200, 202, 203, 204, 205, 206, 207, 208, 210, 211, 212, 213, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 227, 228, 229, 230, 231, 233, 234, 235, 236, 237, 239, 240, 241, 242, 243, 245, 246, 247, 248, 250, 251, 252, 253, 255, 256, 257, 259, 260, 261, 262, 263, 265, 266, 267, 268, 269, 271, 272, 273, 274, 276, 277, 278, 279, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 310, 311, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 333, 334, 335, 338, 339, 340, 341, 342, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 361, 362, 365, 366, 367, 368, 369, 370, 371, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 432, 433, 434, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 451, 452, 453, 454, 457, 458, 459, 460, 463, 464, 465, 467, 468, 470, 471 }

2.2 Detailed conclusion table per each integral for all CAS systems

Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.

In this table,the column normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\)