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, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

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, 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, 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, 253, 254, 255, 256, 257, 258, 259, 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, 318, 319, 320, 321, 322, 323, 324, 325, 326, 328, 329, 330, 331, 332, 333, 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, 490, 492, 493, 495, 497, 499, 507, 508, 514, 515, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 548, 549, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569 }

B grade: { 44, 260, 315, 316, 317 }

C grade: { 160, 251, 252, 489, 491, 494, 496, 498, 502, 503, 504, 505, 506, 511, 512, 513, 516, 517, 518 }

F grade: { 161, 162, 327, 334, 500, 501, 509, 510, 547, 550, 551 }

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, 28, 29, 30, 31, 33, 34, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 52, 54, 56, 57, 58, 68, 69, 70, 71, 72, 84, 85, 86, 87, 88, 89, 100, 101, 102, 109, 110, 121, 130, 132, 134, 139, 142, 148, 149, 150, 164, 165, 166, 167, 168, 169, 187, 227, 228, 229, 231, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 254, 255, 256, 257, 259, 261, 262, 263, 264, 265, 266, 267, 269, 271, 272, 273, 274, 275, 277, 279, 280, 281, 282, 283, 287, 288, 289, 290, 291, 296, 297, 298, 300, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 324, 325, 326, 327, 331, 332, 333, 334, 338, 339, 340, 341, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 381, 382, 383, 386, 387, 390, 391, 394, 395, 396, 399, 400, 405, 406, 407, 411, 412, 413, 416, 417, 418, 422, 423, 427, 428, 432, 433, 437, 438, 439, 443, 444, 445, 447, 448, 449, 450, 451, 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, 514, 515, 522, 523, 524, 525, 526, 527, 528, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 544, 545, 546, 547, 548, 549, 550, 551, 555, 556, 559, 560, 564, 565, 568, 569 }

B grade: { 35, 42, 51, 53, 59, 60, 61, 62, 63, 64, 65, 66, 67, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 103, 104, 105, 106, 107, 108, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 122, 123, 124, 125, 126, 127, 128, 129, 131, 133, 135, 136, 137, 138, 140, 141, 170, 171, 172, 173, 175, 177, 178, 179, 180, 181, 183, 185, 186, 188, 189, 191, 193, 194, 195, 196, 197, 198, 199, 201, 203, 204, 205, 206, 207, 208, 209, 211, 213, 214, 215, 216, 217, 218, 219, 221, 223, 224, 225, 226, 250, 251, 252, 253, 268, 270, 276, 278, 284, 285, 286, 292, 293, 294, 295, 299, 301, 320, 321, 322, 323, 328, 329, 330, 335, 336, 337, 342, 343, 344, 345, 346, 499, 507, 508, 543 }

C grade: { 32, 55, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 500, 501, 502, 503, 504, 505, 506, 509, 510, 511, 512, 513 }

F grade: { 143, 144, 145, 146, 147, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 174, 176, 182, 184, 190, 192, 200, 202, 210, 212, 220, 222, 230, 232, 258, 260, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 384, 385, 388, 389, 392, 393, 397, 398, 401, 402, 403, 404, 408, 409, 410, 414, 415, 419, 420, 421, 424, 425, 426, 429, 430, 431, 434, 435, 436, 440, 441, 442, 446, 452, 453, 516, 517, 518, 519, 520, 521, 529, 552, 553, 554, 557, 558, 561, 562, 563, 566, 567 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 7, 9, 10, 12, 14, 16, 18, 23, 25, 27, 63, 64, 65, 66, 67, 77, 78, 79, 80, 81, 82, 83, 94, 95, 96, 97, 98, 99, 104, 106, 108, 113, 116, 119, 121, 126, 127, 129, 133, 134, 148, 149, 150, 164, 165, 166, 170, 172, 178, 180, 186, 188, 194, 196, 198, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 261, 265, 266, 272, 273, 274, 275, 280, 281, 282, 283, 288, 289, 290, 291, 297, 298, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 318, 319, 324, 325, 326, 327, 331, 332, 333, 334, 338, 339, 340, 341, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 373, 378, 382, 383, 387, 391, 395, 396, 400, 406, 407, 412, 413, 417, 418, 422, 423, 427, 428, 432, 433, 438, 439, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 467, 469, 470, 471, 472, 473, 474, 476, 478, 479, 480, 481, 482, 483, 485, 487, 488, 514, 515, 522, 523, 524, 525, 526, 527, 528, 530, 531, 533, 537, 538, 539, 540, 541, 542, 546, 547, 548, 549, 550, 551, 555, 556, 559, 560, 564, 565, 568, 569 }

B grade: { 11, 13, 19, 20, 21, 22, 40 }

C grade: { 62, 76, 93, 111, 136, 138, 141, 226, 228, 254, 256 }

F grade: { 6, 8, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 68, 69, 70, 71, 72, 73, 74, 75, 84, 85, 86, 87, 88, 89, 90, 91, 92, 100, 101, 102, 103, 105, 107, 109, 110, 112, 114, 115, 117, 118, 120, 122, 123, 124, 125, 128, 130, 131, 132, 135, 137, 139, 140, 142, 143, 144, 145, 146, 147, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 167, 168, 169, 171, 173, 174, 175, 176, 177, 179, 181, 182, 183, 184, 185, 187, 189, 190, 191, 192, 193, 195, 197, 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, 227, 229, 230, 231, 232, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 255, 257, 258, 259, 260, 262, 263, 264, 267, 268, 269, 270, 271, 276, 277, 278, 279, 284, 285, 286, 287, 292, 293, 294, 295, 296, 299, 300, 301, 302, 315, 316, 317, 320, 321, 322, 323, 328, 329, 330, 335, 336, 337, 342, 343, 344, 345, 346, 347, 368, 369, 370, 371, 372, 374, 375, 376, 377, 379, 380, 381, 384, 385, 386, 388, 389, 390, 392, 393, 394, 397, 398, 399, 401, 402, 403, 404, 405, 408, 409, 410, 411, 414, 415, 416, 419, 420, 421, 424, 425, 426, 429, 430, 431, 434, 435, 436, 437, 440, 441, 442, 443, 466, 468, 475, 477, 484, 486, 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, 516, 517, 518, 519, 520, 521, 529, 532, 534, 535, 536, 543, 544, 545, 552, 553, 554, 557, 558, 561, 562, 563, 566, 567 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 14, 16, 18, 19, 20, 21, 22, 23, 25, 27, 40, 47, 49, 63, 64, 65, 66, 67, 76, 77, 78, 79, 80, 81, 82, 83, 93, 94, 95, 96, 97, 98, 99, 104, 106, 108, 111, 113, 114, 116, 118, 124, 126, 128, 136, 138, 148, 149, 150, 164, 165, 166, 170, 172, 178, 180, 186, 188, 194, 196, 198, 226, 228, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 254, 256, 261, 265, 266, 272, 273, 274, 275, 280, 281, 282, 283, 288, 289, 290, 291, 297, 298, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 318, 319, 324, 325, 326, 327, 331, 332, 333, 334, 338, 339, 340, 341, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 411, 416, 422, 423, 427, 428, 432, 433, 438, 439, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 467, 469, 470, 471, 472, 473, 474, 476, 478, 479, 480, 481, 482, 483, 485, 487, 488, 514, 515, 516, 522, 523, 524, 525, 526, 527, 530, 531, 532, 533, 537, 538, 539, 540, 541, 542, 546, 547, 548, 549, 550, 551 }

B grade: { 62, 296, 302, 347, 368, 437, 443, 499, 507, 508, 517, 518, 528 }

C grade: { }

F grade: { 6, 8, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 68, 69, 70, 71, 72, 73, 74, 75, 84, 85, 86, 87, 88, 89, 90, 91, 92, 100, 101, 102, 103, 105, 107, 109, 110, 112, 115, 117, 119, 120, 121, 122, 123, 125, 127, 129, 130, 131, 132, 133, 134, 135, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 167, 168, 169, 171, 173, 174, 175, 176, 177, 179, 181, 182, 183, 184, 185, 187, 189, 190, 191, 192, 193, 195, 197, 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, 227, 229, 230, 231, 232, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 255, 257, 258, 259, 260, 262, 263, 264, 267, 268, 269, 270, 271, 276, 277, 278, 279, 284, 285, 286, 287, 292, 293, 294, 295, 299, 300, 301, 315, 316, 317, 320, 321, 322, 323, 328, 329, 330, 335, 336, 337, 342, 343, 344, 345, 346, 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, 412, 413, 414, 415, 417, 418, 419, 420, 421, 424, 425, 426, 429, 430, 431, 434, 435, 436, 440, 441, 442, 466, 468, 475, 477, 484, 486, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 500, 501, 502, 503, 504, 505, 506, 509, 510, 511, 512, 513, 519, 520, 521, 529, 534, 535, 536, 543, 544, 545, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 19, 20, 21, 22, 23, 148, 149, 164, 165, 166, 235, 236, 237, 239, 240, 241, 242, 261, 265, 266, 272, 273, 274, 275, 280, 281, 282, 283, 288, 289, 290, 291, 297, 298, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 318, 319, 324, 325, 326, 327, 331, 332, 333, 334, 338, 339, 340, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 364, 365, 373, 378, 382, 383, 387, 395, 396, 400, 406, 407, 412, 422, 423, 427, 438, 439, 444, 445, 446, 447, 448, 449, 451, 454, 455, 459, 461, 462, 463, 464, 465, 470, 471, 472, 473, 474, 479, 480, 481, 482, 483, 488, 514, 515, 522, 525, 526, 527, 528, 530, 531, 532, 537, 539, 540, 541, 542, 546, 548, 549, 550, 551, 555, 556, 559, 564, 565, 568 }

B grade: { }

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, 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, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 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, 238, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 262, 263, 264, 267, 268, 269, 270, 271, 276, 277, 278, 279, 284, 285, 286, 287, 292, 293, 294, 295, 296, 299, 300, 301, 302, 315, 316, 317, 320, 321, 322, 323, 328, 329, 330, 335, 336, 337, 341, 342, 343, 344, 345, 346, 347, 363, 366, 367, 368, 369, 370, 371, 372, 374, 375, 376, 377, 379, 380, 381, 384, 385, 386, 388, 389, 390, 391, 392, 393, 394, 397, 398, 399, 401, 402, 403, 404, 405, 408, 409, 410, 411, 413, 414, 415, 416, 417, 418, 419, 420, 421, 424, 425, 426, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 440, 441, 442, 443, 450, 452, 453, 456, 457, 458, 460, 466, 467, 468, 469, 475, 476, 477, 478, 484, 485, 486, 487, 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, 516, 517, 518, 519, 520, 521, 523, 524, 529, 533, 534, 535, 536, 538, 543, 544, 545, 547, 552, 553, 554, 557, 558, 560, 561, 562, 563, 566, 567, 569 }

2.1.7 Giac

A grade: { 134, 148, 149, 150, 236, 237, 238, 239, 261, 265, 266, 273, 275, 281, 283, 289, 291, 297, 298, 304, 305, 307, 309, 312, 313, 314, 318, 319, 325, 327, 332, 334, 339, 341, 349, 351, 353, 355, 356, 358, 360, 362, 365, 366, 367, 382, 383, 387, 391, 395, 396, 400, 406, 407, 412, 413, 417, 418, 438, 439, 444, 445, 446, 447, 448, 449, 450, 451, 455, 456, 459, 460, 514, 515, 522, 523, 524, 530, 531, 532, 533, 537, 538, 539, 540, 541, 542, 546, 547, 548, 549, 550, 551, 555, 556, 559, 560, 564, 565, 568, 569 }

B grade: { 528 }

C grade: { 138, 141, 228, 256 }

F 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, 135, 136, 137, 139, 140, 142, 143, 144, 145, 146, 147, 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, 229, 230, 231, 232, 233, 234, 235, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 257, 258, 259, 260, 262, 263, 264, 267, 268, 269, 270, 271, 272, 274, 276, 277, 278, 279, 280, 282, 284, 285, 286, 287, 288, 290, 292, 293, 294, 295, 296, 299, 300, 301, 302, 303, 306, 308, 310, 311, 315, 316, 317, 320, 321, 322, 323, 324, 326, 328, 329, 330, 331, 333, 335, 336, 337, 338, 340, 342, 343, 344, 345, 346, 347, 348, 350, 352, 354, 357, 359, 361, 363, 364, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 384, 385, 386, 388, 389, 390, 392, 393, 394, 397, 398, 399, 401, 402, 403, 404, 405, 408, 409, 410, 411, 414, 415, 416, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 440, 441, 442, 443, 452, 453, 454, 457, 458, 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, 516, 517, 518, 519, 520, 521, 525, 526, 527, 529, 534, 535, 536, 543, 544, 545, 552, 553, 554, 557, 558, 561, 562, 563, 566, 567 }

2.1.8 Mupad

A grade: { 148, 149, 150, 233, 234, 235, 236, 237, 238, 239, 261, 265, 266, 272, 273, 274, 275, 280, 281, 282, 283, 288, 289, 290, 291, 297, 298, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 318, 319, 324, 325, 326, 327, 331, 332, 333, 334, 338, 339, 340, 341, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 373, 378, 382, 383, 387, 391, 395, 396, 400, 406, 407, 412, 413, 417, 418, 422, 423, 427, 428, 432, 433, 438, 439, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 514, 515, 522, 523, 524, 530, 531, 532, 533, 537, 538, 539, 540, 541, 542, 546, 547, 548, 549, 550, 551, 555, 556, 559, 560, 564, 565, 568, 569 }

B grade: { 347, 368 }

C grade: { }

F 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, 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, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 262, 263, 264, 267, 268, 269, 270, 271, 276, 277, 278, 279, 284, 285, 286, 287, 292, 293, 294, 295, 296, 299, 300, 301, 302, 315, 316, 317, 320, 321, 322, 323, 328, 329, 330, 335, 336, 337, 342, 343, 344, 345, 346, 369, 370, 371, 372, 374, 375, 376, 377, 379, 380, 381, 384, 385, 386, 388, 389, 390, 392, 393, 394, 397, 398, 399, 401, 402, 403, 404, 405, 408, 409, 410, 411, 414, 415, 416, 419, 420, 421, 424, 425, 426, 429, 430, 431, 434, 435, 436, 437, 440, 441, 442, 443, 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, 516, 517, 518, 519, 520, 521, 525, 526, 527, 528, 529, 534, 535, 536, 543, 544, 545, 552, 553, 554, 557, 558, 561, 562, 563, 566, 567 }

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