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, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 24, 25, 27, 29, 31, 33, 35, 37, 39, 41, 42, 44, 46, 48, 50, 51, 53, 55, 57, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 72, 73, 76, 77, 78, 79, 80, 81, 83, 84, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 107, 108, 109, 110, 113, 114, 116, 117, 118, 119, 122, 123, 125, 126, 127, 128, 129, 133, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 194, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 235, 236, 237, 238, 239, 240, 247, 248, 249, 250, 251, 252, 259, 260, 261, 262, 263, 264, 265, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 300, 302, 304, 305, 306, 307, 308, 309, 311, 313, 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, 346, 347, 348, 349, 350, 351, 352, 353, 354, 359, 362, 363, 364, 365, 370, 373, 374, 375, 379, 382, 383, 389, 391, 392, 393, 398, 402, 403, 411, 412, 413, 415, 416, 417, 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, 454, 455, 456, 457, 458, 459, 460, 461, 462, 465, 468, 469, 470, 471, 472, 473, 476, 479, 480, 481, 482, 483, 484, 487, 498, 509, 513, 514, 515, 516, 521, 522, 523, 524, 525 }

B grade: { 6, 8, 17, 18, 26, 138, 159, 193, 195, 206, 225, 226, 227, 228, 315, 345, 355 }

C grade: { 28, 30, 32, 34, 36, 38, 40, 43, 45, 47, 49, 52, 54, 56, 58, 71, 74, 75, 82, 85, 86, 102, 105, 106, 111, 112, 115, 120, 121, 124, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 229, 230, 231, 232, 233, 234, 241, 242, 243, 244, 245, 246, 253, 254, 255, 256, 257, 258, 266, 267, 268, 269, 270, 271, 272, 273, 274, 299, 301, 303, 310, 312, 314, 356, 357, 358, 360, 361, 366, 367, 368, 369, 371, 372, 376, 377, 378, 380, 381, 384, 385, 386, 387, 388, 390, 394, 395, 396, 397, 399, 414, 418, 453, 463, 464, 466, 467, 474, 475, 477, 478, 485, 486, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 510, 511 }

F grade: { 63, 130, 131, 132, 134, 135, 136, 137, 139, 140, 400, 401, 404, 405, 406, 407, 408, 409, 410, 512, 517, 518, 519, 520 }

2.1.3 Maple

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, 34, 36, 38, 40, 71, 72, 73, 74, 75, 82, 83, 84, 85, 86, 88, 89, 91, 93, 94, 95, 96, 102, 103, 104, 105, 106, 107, 108, 111, 112, 113, 114, 115, 116, 117, 118, 119, 123, 124, 125, 126, 127, 129, 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, 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, 230, 231, 232, 233, 234, 278, 280, 283, 284, 285, 286, 287, 288, 291, 292, 293, 294, 295, 296, 297, 298, 304, 306, 307, 308, 309, 311, 322, 334, 344, 353, 357, 358, 359, 360, 361, 363, 368, 369, 370, 371, 372, 374, 377, 378, 379, 380, 381, 383, 386, 387, 388, 389, 390, 393, 398, 428, 431, 432, 433, 434, 435, 436, 439, 442, 443, 444, 445, 446, 449, 452, 453, 454, 455, 456, 463, 464, 465, 466, 467, 474, 475, 476, 477, 478, 485, 486, 487, 488, 489, 496, 497, 498, 499, 500, 507, 509, 510, 522, 523, 524, 525 }

B grade: { 28, 29, 30, 31, 32, 33, 35, 37, 39, 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, 76, 77, 78, 79, 80, 81, 87, 90, 92, 97, 98, 99, 100, 101, 109, 110, 120, 121, 122, 128, 229, 241, 242, 243, 244, 245, 246, 253, 254, 255, 256, 257, 258, 265, 276, 277, 281, 282, 289, 290, 299, 300, 301, 302, 303, 305, 310, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 335, 336, 337, 338, 339, 340, 341, 342, 343, 345, 346, 347, 348, 349, 350, 351, 395, 396, 397, 399, 413, 417, 425, 508, 511 }

C grade: { 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 235, 236, 237, 238, 239, 240, 247, 248, 249, 250, 251, 252, 259, 260, 261, 262, 263, 264, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 279, 352, 354, 355, 356, 362, 364, 365, 366, 367, 373, 375, 376, 382, 384, 385, 391, 392, 394, 411, 412, 414, 415, 416, 418, 426, 427, 429, 430, 437, 438, 440, 441, 447, 448, 450, 451, 457, 458, 459, 460, 461, 462, 468, 469, 470, 471, 472, 473, 479, 480, 481, 482, 483, 484, 490, 491, 492, 493, 494, 495, 501, 502, 503, 504, 505, 506, 521 }

F grade: { 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 419, 420, 421, 422, 423, 424, 512, 513, 514, 515, 516, 517, 518, 519, 520 }

2.1.4 Maxima

A grade: { 1, 3, 5, 6, 7, 10, 12, 14, 16, 19, 21, 23, 25, 27, 88, 93, 125, 141, 142, 143, 144, 145, 146, 147, 150, 151, 152, 153, 154, 155, 161, 162, 163, 164, 165, 166, 168, 184, 186, 188, 189, 190, 197, 199, 201, 203, 217, 218, 219, 220, 277, 279, 280, 283, 285, 286, 287, 293, 295, 296, 304, 306, 307, 428, 429, 430, 433, 439, 440, 441, 450, 451 }

B grade: { 2, 4, 8, 9, 11, 13, 15, 17, 18, 20, 22, 24, 26, 60, 61, 62, 63, 64, 65, 89, 94, 108, 117, 118, 148, 149, 156, 157, 158, 159, 160, 167, 169, 170, 185, 187, 191, 192, 193, 194, 195, 196, 198, 200, 202, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 221, 222, 223, 224, 225, 226, 227, 228, 265, 276, 278, 281, 282, 284, 288, 289, 290, 291, 292, 294, 297, 298, 299, 300, 301, 302, 303, 305, 308, 309, 310, 311, 312, 313, 314, 315, 349, 350, 351, 383, 392, 393, 425, 426, 427, 431, 432, 434, 435, 436, 437, 438, 442, 443, 444, 445, 446, 447, 448, 449, 452, 453, 454, 455, 456 }

C grade: { 128 }

F grade: { 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, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 109, 110, 111, 112, 113, 114, 115, 116, 119, 120, 121, 122, 123, 124, 126, 127, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 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, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 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, 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, 384, 385, 386, 387, 388, 389, 390, 391, 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, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525 }

2.1.5 FriCAS

A grade: { 1, 3, 4, 5, 10, 12, 14, 16, 19, 21, 23, 25, 88, 93, 125, 141, 142, 143, 144, 145, 147, 151, 152, 153, 155, 162, 184, 186, 188, 190, 199, 276, 277, 278, 279, 280, 283, 284, 285, 286, 293, 295, 298, 304, 306, 524, 525 }

B grade: { 2, 6, 7, 8, 9, 11, 13, 15, 17, 18, 20, 22, 24, 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, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 76, 77, 78, 79, 80, 81, 98, 99, 100, 101, 107, 108, 109, 110, 116, 117, 118, 119, 146, 148, 149, 150, 154, 156, 157, 158, 159, 160, 161, 163, 164, 165, 166, 167, 168, 169, 170, 182, 183, 185, 187, 189, 191, 192, 193, 194, 195, 196, 197, 198, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 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, 265, 266, 270, 271, 272, 273, 274, 275, 281, 282, 287, 288, 289, 290, 291, 292, 294, 296, 297, 299, 300, 301, 302, 303, 305, 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, 349, 350, 351, 352, 353, 354, 355, 356, 362, 363, 364, 365, 366, 367, 373, 374, 375, 376, 382, 383, 384, 385, 391, 392, 393, 394, 411, 412, 413, 415, 416, 417, 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, 468, 469, 470, 471, 472, 473, 479, 480, 481, 482, 483, 484, 490, 491, 492, 493, 494, 495, 502, 503, 504, 505, 523 }

C grade: { 89, 94, 128, 521 }

F grade: { 58, 59, 71, 72, 73, 74, 75, 82, 83, 84, 85, 86, 87, 90, 91, 92, 95, 96, 97, 102, 103, 104, 105, 106, 111, 112, 113, 114, 115, 120, 121, 122, 123, 124, 126, 127, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 215, 216, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 267, 268, 269, 347, 348, 357, 358, 359, 360, 361, 368, 369, 370, 371, 372, 377, 378, 379, 380, 381, 386, 387, 388, 389, 390, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 414, 418, 419, 420, 421, 422, 423, 424, 463, 464, 465, 466, 467, 474, 475, 476, 477, 478, 485, 486, 487, 488, 489, 496, 497, 498, 499, 500, 501, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 522 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 19, 20, 21, 22, 23, 141, 142, 143, 144, 145, 150, 151, 152, 153, 161, 162, 163, 184, 185, 186, 187, 188, 196, 197, 198, 199, 208, 209, 217, 218, 279, 280, 283, 284, 285, 286, 293, 294, 295, 296, 304, 305, 306, 307, 322, 334, 344, 413, 417 }

B grade: { 60, 61, 62, 63, 64, 65, 265, 276, 277, 278, 349, 350, 351 }

C grade: { }

F grade: { 6, 7, 8, 9, 15, 16, 17, 18, 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, 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, 146, 147, 148, 149, 154, 155, 156, 157, 158, 159, 160, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 189, 190, 191, 192, 193, 194, 195, 200, 201, 202, 203, 204, 205, 206, 207, 210, 211, 212, 213, 214, 215, 216, 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, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 281, 282, 287, 288, 289, 290, 291, 292, 297, 298, 299, 300, 301, 302, 303, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 335, 336, 337, 338, 339, 340, 341, 342, 343, 345, 346, 347, 348, 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, 414, 415, 416, 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, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525 }

2.1.7 Giac

A grade: { 1, 3, 5, 6, 7, 9, 10, 12, 14, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 42, 44, 46, 48, 50, 57, 59, 61, 62, 65, 88, 93, 125, 141, 142, 143, 144, 145, 146, 149, 150, 151, 152, 153, 154, 155, 159, 160, 161, 162, 163, 164, 165, 182, 183, 184, 186, 188, 189, 192, 197, 199, 201, 203, 204, 217, 218, 220, 236, 237, 238, 239, 240, 247, 248, 249, 250, 251, 252, 259, 260, 261, 262, 263, 264, 268, 269, 271, 272, 276, 277, 279, 280, 283, 285, 287, 288, 290, 292, 293, 295, 297, 304, 306, 319, 321, 324, 326, 331, 333, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 442, 443, 447, 448, 449, 452, 455, 456, 521 }

B grade: { 2, 4, 8, 11, 13, 15, 16, 17, 18, 20, 22, 24, 26, 41, 51, 53, 55, 60, 63, 64, 147, 148, 156, 157, 158, 166, 167, 168, 169, 170, 185, 187, 190, 191, 193, 194, 195, 196, 198, 200, 202, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 219, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 241, 242, 243, 244, 245, 246, 253, 254, 255, 256, 257, 258, 265, 270, 273, 274, 278, 281, 282, 284, 286, 289, 291, 294, 296, 298, 299, 300, 301, 302, 303, 305, 307, 308, 309, 310, 311, 312, 313, 314, 315, 317, 328, 329, 336, 338, 339, 341, 343, 346, 348, 349, 350, 351, 480, 485, 486, 490, 491, 501, 502 }

C grade: { 89, 94, 128, 266 }

F grade: { 28, 30, 32, 34, 36, 38, 40, 43, 45, 47, 49, 52, 54, 56, 58, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 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, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 235, 267, 275, 316, 318, 320, 322, 323, 325, 327, 330, 332, 334, 335, 337, 340, 342, 344, 345, 347, 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, 440, 441, 444, 445, 446, 450, 451, 453, 454, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 481, 482, 483, 484, 487, 488, 489, 492, 493, 494, 495, 496, 497, 498, 499, 500, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 522, 523, 524, 525 }

2.1.8 Mupad

A grade: { }

B 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, 60, 61, 62, 63, 64, 65, 88, 89, 108, 117, 118, 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, 265, 266, 268, 271, 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, 334, 344, 349, 350, 351, 353, 363, 374, 383, 392, 393, 403, 413, 417, 421, 424, 425, 426, 427, 428, 434, 435, 436, 437, 438, 439, 444, 445, 446, 447, 448, 449, 454, 455, 456, 521 }

C grade: { }

F grade: { 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 109, 110, 111, 112, 113, 114, 115, 116, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 267, 269, 270, 272, 273, 329, 330, 331, 332, 333, 335, 336, 337, 338, 339, 340, 341, 342, 343, 345, 346, 347, 348, 352, 354, 355, 356, 357, 358, 359, 360, 361, 362, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 375, 376, 377, 378, 379, 380, 381, 382, 384, 385, 386, 387, 388, 389, 390, 391, 394, 395, 396, 397, 398, 399, 400, 401, 402, 404, 405, 406, 407, 408, 409, 410, 411, 412, 414, 415, 416, 418, 419, 420, 422, 423, 429, 430, 431, 432, 433, 440, 441, 442, 443, 450, 451, 452, 453, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 522, 523, 524, 525 }

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 \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\)