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 }

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, 26, 27, 28, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 52, 53, 54, 55, 56, 58, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 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, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 131, 132, 133, 134, 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, 190, 191, 192, 194, 195, 196, 199, 201, 202, 205, 206, 208, 209, 210, 214, 215, 220, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 251, 253, 254, 255, 256, 257, 258, 259, 260, 261, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 274, 275, 278, 279, 280, 281, 286, 287, 289, 290, 291, 292, 293, 294, 295, 296, 298, 301, 302, 303, 306, 307, 308, 309, 310, 311, 312, 313, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 330, 335, 336, 337, 341, 345, 346, 349, 350, 351, 352, 353, 354, 355, 356, 357, 359, 360, 361, 364, 365, 367, 368, 369, 370, 374, 375, 378, 379, 382, 383, 384, 385, 388, 393, 394, 399, 402, 403, 404, 406, 407, 408, 411, 412, 413, 414, 417, 422, 423, 424, 425, 426, 427, 428, 429, 432, 433, 439, 440, 441, 442, 443, 446, 447, 448, 451, 452, 454, 455, 456, 457, 458, 461, 462, 466, 467, 468, 471, 472, 473, 478, 479, 484, 488, 489, 493, 494, 495, 498 }

B grade: { 34, 49, 51, 57, 59, 110, 130, 135, 189, 193, 200, 207, 211, 212, 213, 217, 218, 219, 248, 249, 262, 273, 277, 283, 284, 285, 299, 300, 304, 305, 314, 328, 329, 331, 332, 333, 334, 343, 344, 348, 358, 362, 363, 372, 373, 377, 387, 391, 392, 401, 416, 420, 421, 430, 431, 435, 436, 437, 445, 449, 450, 459, 460, 464, 465, 469, 476, 477, 482, 486, 487, 491, 492, 496, 500 }

C grade: { 25, 29, 35, 71, 250, 297, 338, 339, 340, 380, 389, 396, 397, 398, 409, 418, 438, 470, 474, 481, 483, 497, 501 }

F grade: { 197, 198, 203, 204, 216, 221, 222, 237, 252, 276, 282, 288, 342, 347, 366, 371, 376, 381, 386, 390, 395, 400, 405, 410, 415, 419, 434, 444, 453, 463, 475, 480, 485, 490, 499, 502 }

2.1.3 Maple

A grade: { 4, 5, 6, 12, 13, 19, 20, 21, 25, 26, 27, 30, 31, 32, 36, 37, 65, 66, 72, 76, 77, 99, 100, 104, 105, 106, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 139, 140, 144, 145, 149, 150, 151, 155, 156, 160, 161, 165, 166, 167, 172, 173, 176, 177, 179, 180, 181, 185, 186, 189, 190, 191, 192, 195, 197, 198, 200, 201, 203, 204, 207, 208, 209, 210, 214, 215, 216, 220, 221, 222, 226, 227, 231, 232, 235, 237, 241, 242, 246, 247, 251, 252, 256, 257, 258, 261, 263, 264, 266, 267, 268, 269, 270, 273, 275, 276, 278, 279, 280, 281, 282, 287, 288, 292, 293, 298, 303, 307, 308, 312, 313, 317, 318, 319, 320, 336, 337, 342, 347, 351, 352, 356, 357, 361, 365, 366, 371, 376, 381, 385, 386, 390, 394, 395, 400, 405, 410, 414, 415, 419, 423, 424, 429, 434, 438, 439, 443, 444, 448, 452, 453, 458, 463, 467, 468, 471, 472, 475, 479, 480, 484, 485, 490, 494, 495, 498, 499, 502 }

B grade: { 1, 2, 3, 7, 8, 9, 10, 11, 14, 15, 16, 17, 18, 22, 23, 24, 28, 29, 33, 34, 35, 96, 97, 98, 101, 102, 103, 107, 108, 109, 113, 157, 158, 159, 162, 163, 164, 168, 171, 175, 178, 187, 188, 193, 194, 196, 199, 202, 205, 206, 211, 212, 213, 217, 218, 219, 225, 230, 236, 240, 245, 250, 253, 254, 255, 259, 260, 262, 265, 271, 272, 274, 277, 283, 284, 285, 286, 291, 296, 297, 301, 302, 306, 311, 315, 316, 321, 322, 324, 325, 327, 328, 330, 331, 335, 340, 341, 345, 346, 350, 355, 359, 360, 364, 369, 370, 374, 375, 379, 380, 384, 388, 389, 393, 398, 399, 403, 404, 408, 409, 413, 417, 418, 422, 427, 428, 432, 433, 437, 442, 446, 447, 451, 456, 457, 461, 462, 466, 470, 473, 474, 478, 483, 488, 489, 493, 497, 500, 501 }

C grade: { 60, 61, 62, 63, 64, 78, 79, 80, 81, 82, 83, 84 }

F grade: { 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 67, 68, 69, 70, 71, 73, 74, 75, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 146, 147, 148, 152, 153, 154, 169, 170, 174, 182, 183, 184, 223, 224, 228, 229, 233, 234, 238, 239, 243, 244, 248, 249, 289, 290, 294, 295, 299, 300, 304, 305, 309, 310, 314, 323, 326, 329, 332, 333, 334, 338, 339, 343, 344, 348, 349, 353, 354, 358, 362, 363, 367, 368, 372, 373, 377, 378, 382, 383, 387, 391, 392, 396, 397, 401, 402, 406, 407, 411, 412, 416, 420, 421, 425, 426, 430, 431, 435, 436, 440, 441, 445, 449, 450, 454, 455, 459, 460, 464, 465, 469, 476, 477, 481, 482, 486, 487, 491, 492, 496 }

2.1.4 Maxima

A grade: { 5, 6, 7, 10, 11, 12, 13, 14, 15, 20, 21, 22, 26, 27, 31, 32, 36, 37, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 63, 64, 65, 66, 67, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 98, 99, 100, 101, 104, 105, 106, 107, 110, 111, 112, 116, 117, 139, 140, 144, 145, 149, 150, 151, 152, 153, 154, 155, 156, 159, 160, 161, 162, 164, 165, 166, 167, 168, 172, 173, 176, 177, 179, 180, 181, 182, 183, 184, 185, 186, 189, 190, 191, 192, 196, 197, 198, 202, 206, 208, 209, 210, 215, 216, 220, 221, 222, 226, 227, 231, 232, 236, 237, 241, 242, 246, 247, 251, 252, 254, 256, 257, 258, 263, 264, 268, 271, 272, 275, 276, 277, 279, 281, 282, 287, 288, 292, 293, 297, 298, 303, 307, 308, 312, 313, 316, 317, 318, 319, 320, 337, 341, 342, 347, 351, 352, 356, 357, 360, 361, 366, 370, 371, 376, 380, 381, 385, 386, 389, 390, 395, 399, 400, 405, 409, 410, 414, 415, 418, 419, 424, 428, 429, 434, 438, 439, 443, 444, 447, 448, 453, 457, 458, 463, 467, 468, 471, 472, 474, 475, 480, 485, 490, 494, 495, 498, 499, 502 }

B grade: { 1, 2, 3, 4, 8, 9, 16, 17, 18, 19, 23, 24, 28, 30, 33, 34, 38, 39, 40, 41, 60, 61, 62, 96, 97, 102, 103, 108, 113, 115, 157, 158, 163, 187, 193, 195, 205, 211, 212, 214, 217, 218, 253, 259, 260, 261, 262, 274, 280, 283, 284, 286, 302, 321, 324, 327, 330, 336, 346, 365, 375, 394, 404, 423, 433, 452, 462, 479, 484, 489, 501 }

C grade: { }

F grade: { 25, 29, 35, 68, 69, 70, 71, 90, 91, 92, 93, 94, 95, 109, 114, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 146, 147, 148, 169, 170, 171, 174, 175, 178, 188, 194, 199, 200, 201, 203, 204, 207, 213, 219, 223, 224, 225, 228, 229, 230, 233, 234, 235, 238, 239, 240, 243, 244, 245, 248, 249, 250, 255, 265, 266, 267, 269, 270, 273, 278, 285, 289, 290, 291, 294, 295, 296, 299, 300, 301, 304, 305, 306, 309, 310, 311, 314, 315, 322, 323, 325, 326, 328, 329, 331, 332, 333, 334, 335, 338, 339, 340, 343, 344, 345, 348, 349, 350, 353, 354, 355, 358, 359, 362, 363, 364, 367, 368, 369, 372, 373, 374, 377, 378, 379, 382, 383, 384, 387, 388, 391, 392, 393, 396, 397, 398, 401, 402, 403, 406, 407, 408, 411, 412, 413, 416, 417, 420, 421, 422, 425, 426, 427, 430, 431, 432, 435, 436, 437, 440, 441, 442, 445, 446, 449, 450, 451, 454, 455, 456, 459, 460, 461, 464, 465, 466, 469, 470, 473, 476, 477, 478, 481, 482, 483, 486, 487, 488, 491, 492, 493, 496, 497, 500 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 9, 10, 11, 12, 18, 19, 20, 26, 27, 31, 32, 36, 37, 41, 48, 56, 62, 65, 66, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 98, 99, 100, 101, 104, 105, 106, 110, 111, 112, 115, 116, 117, 139, 140, 144, 145, 149, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 163, 164, 165, 166, 167, 172, 173, 176, 177, 179, 180, 181, 182, 183, 184, 185, 186, 189, 190, 191, 192, 195, 196, 197, 198, 201, 202, 203, 204, 208, 209, 210, 215, 216, 221, 222, 227, 232, 237, 242, 247, 252, 255, 256, 257, 258, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 275, 276, 279, 280, 281, 282, 287, 288, 293, 298, 303, 306, 307, 308, 313, 317, 318, 319, 320, 337, 342, 347, 350, 351, 352, 357, 361, 366, 371, 376, 379, 380, 381, 386, 390, 395, 400, 405, 410, 415, 419, 423, 424, 429, 434, 438, 439, 444, 448, 453, 458, 463, 468, 472, 480, 485, 490, 495, 499 }

B grade: { 6, 7, 8, 13, 14, 15, 16, 17, 21, 22, 25, 29, 30, 35, 38, 39, 40, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 63, 64, 69, 96, 97, 102, 103, 107, 109, 114, 162, 168, 171, 175, 178, 188, 194, 200, 207, 213, 214, 219, 220, 225, 226, 230, 231, 235, 236, 240, 241, 245, 246, 250, 251, 259, 260, 273, 274, 278, 285, 286, 291, 292, 296, 297, 301, 302, 311, 312, 315, 316, 321, 322, 324, 325, 327, 328, 330, 331, 335, 336, 340, 341, 345, 346, 355, 356, 359, 360, 364, 365, 369, 370, 374, 375, 384, 385, 388, 389, 393, 394, 398, 399, 403, 404, 408, 409, 413, 414, 417, 418, 422, 427, 428, 432, 433, 437, 442, 443, 446, 447, 451, 452, 456, 457, 461, 462, 466, 467, 470, 471, 474, 478, 479, 483, 484, 488, 489, 493, 494, 497, 498, 501 }

C grade: { 23, 24, 28, 33, 34, 108, 113, 169, 170, 174, 187, 193, 199, 205, 206, 211, 212, 217, 218, 223, 224, 228, 229, 233, 234, 238, 239, 243, 244, 249, 253, 254, 271, 272, 277, 283, 284, 289, 290, 294, 295, 299, 300, 304, 305, 309, 310, 314, 323, 326, 329, 332, 333, 334, 338, 339, 343, 344, 348, 349, 353, 354, 358, 362, 363, 367, 368, 372, 373, 377, 378, 382, 383, 387, 391, 392, 396, 397, 402, 406, 407, 411, 412, 416, 420, 421, 425, 426, 430, 431, 435, 436, 440, 441, 449, 450, 454, 455, 459, 460, 464, 465, 469, 476, 477, 481, 482, 487, 492 }

F grade: { 67, 68, 70, 71, 92, 93, 94, 95, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 146, 147, 148, 150, 248, 401, 445, 473, 475, 486, 491, 496, 500, 502 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 8, 9, 10, 11, 16, 17, 18, 19, 26, 27, 31, 32, 36, 37, 65, 66, 67, 72, 76, 77, 96, 97, 98, 102, 103, 104, 110, 111, 112, 115, 139, 140, 144, 145, 149, 150, 155, 156, 157, 158, 159, 163, 164, 165, 172, 173, 185, 186, 189, 190, 191, 192, 195, 196, 201, 202, 209, 215, 226, 242, 247, 252, 256, 257, 258, 259, 260, 261, 262, 265, 266, 267, 268, 275, 276, 281, 282, 287, 288, 292, 297, 308, 313, 317, 318, 319, 320, 336, 352, 357, 361, 365, 381, 386, 390, 394, 410, 415, 419, 424, 429, 434, 439, 453, 458, 463, 480, 485, 490 }

B grade: { }

C grade: { 60, 61, 62, 63, 64 }

F grade: { 5, 6, 7, 12, 13, 14, 15, 20, 21, 22, 23, 24, 25, 28, 29, 30, 33, 34, 35, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 68, 69, 70, 71, 73, 74, 75, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 99, 100, 101, 105, 106, 107, 108, 109, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 146, 147, 148, 151, 152, 153, 154, 160, 161, 162, 166, 167, 168, 169, 170, 171, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 187, 188, 193, 194, 197, 198, 199, 200, 203, 204, 205, 206, 207, 208, 210, 211, 212, 213, 214, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 243, 244, 245, 246, 248, 249, 250, 251, 253, 254, 255, 263, 264, 269, 270, 271, 272, 273, 274, 277, 278, 279, 280, 283, 284, 285, 286, 289, 290, 291, 293, 294, 295, 296, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 309, 310, 311, 312, 314, 315, 316, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355, 356, 358, 359, 360, 362, 363, 364, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 382, 383, 384, 385, 387, 388, 389, 391, 392, 393, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 411, 412, 413, 414, 416, 417, 418, 420, 421, 422, 423, 425, 426, 427, 428, 430, 431, 432, 433, 435, 436, 437, 438, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 454, 455, 456, 457, 459, 460, 461, 462, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 481, 482, 483, 484, 486, 487, 488, 489, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502 }

2.1.7 Giac

A grade: { 4, 5, 10, 11, 12, 19, 20, 26, 27, 31, 32, 36, 38, 39, 40, 41, 48, 60, 61, 62, 65, 66, 67, 72, 76, 77, 98, 99, 104, 105, 110, 111, 112, 115, 116, 117, 139, 140, 144, 145, 149, 150, 151, 155, 156, 159, 160, 165, 166, 172, 173, 176, 177, 179, 181, 185, 186, 190, 191, 192, 196, 197, 198, 202, 203, 204, 208, 209, 214, 220, 226, 227, 231, 232, 236, 237, 241, 246, 251, 256, 257, 258, 263, 268, 269, 275, 276, 279, 280, 281, 292, 293, 297, 298, 302, 303, 307, 308, 312, 318, 319, 320, 336, 337, 341, 342, 346, 347, 351, 356, 357, 360, 365, 366, 370, 371, 375, 376, 380, 385, 389, 394, 395, 399, 400, 404, 405, 409, 414, 418, 423, 424, 433, 434, 438, 439, 443, 452, 462, 467, 471, 479, 490, 498 }

B grade: { 1, 2, 3, 6, 7, 8, 9, 13, 14, 15, 16, 17, 18, 21, 22, 30, 96, 97, 100, 101, 102, 103, 106, 107, 157, 158, 161, 162, 163, 164, 167, 168, 189, 195, 201, 259, 260, 261, 262, 264, 265, 266, 267, 270, 274, 286, 316, 428, 447, 457, 474, 484, 489, 494, 501 }

C grade: { }

F grade: { 23, 24, 25, 28, 29, 33, 34, 35, 37, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 63, 64, 68, 69, 70, 71, 73, 74, 75, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 108, 109, 113, 114, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 146, 147, 148, 152, 153, 154, 169, 170, 171, 174, 175, 178, 180, 182, 183, 184, 187, 188, 193, 194, 199, 200, 205, 206, 207, 210, 211, 212, 213, 215, 216, 217, 218, 219, 221, 222, 223, 224, 225, 228, 229, 230, 233, 234, 235, 238, 239, 240, 242, 243, 244, 245, 247, 248, 249, 250, 252, 253, 254, 255, 271, 272, 273, 277, 278, 282, 283, 284, 285, 287, 288, 289, 290, 291, 294, 295, 296, 299, 300, 301, 304, 305, 306, 309, 310, 311, 313, 314, 315, 317, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 338, 339, 340, 343, 344, 345, 348, 349, 350, 352, 353, 354, 355, 358, 359, 361, 362, 363, 364, 367, 368, 369, 372, 373, 374, 377, 378, 379, 381, 382, 383, 384, 386, 387, 388, 390, 391, 392, 393, 396, 397, 398, 401, 402, 403, 406, 407, 408, 410, 411, 412, 413, 415, 416, 417, 419, 420, 421, 422, 425, 426, 427, 429, 430, 431, 432, 435, 436, 437, 440, 441, 442, 444, 445, 446, 448, 449, 450, 451, 453, 454, 455, 456, 458, 459, 460, 461, 463, 464, 465, 466, 468, 469, 470, 472, 473, 475, 476, 477, 478, 480, 481, 482, 483, 485, 486, 487, 488, 491, 492, 493, 495, 496, 497, 499, 500, 502 }

2.1.8 Mupad

A grade: { 26, 27, 31, 32, 36, 37, 65, 66, 67, 72, 76, 77, 111, 112, 116, 117, 139, 140, 144, 145, 149, 150, 151, 155, 156, 172, 173, 176, 177, 179, 180, 181, 185, 186, 191, 192, 197, 198, 203, 204, 209, 210, 215, 216, 221, 222, 227, 232, 237, 242, 247, 252, 257, 258, 275, 276, 281, 282, 287, 288, 293, 298, 303, 308, 313, 317, 318, 319, 320, 337, 342, 347, 352, 357, 361, 366, 371, 376, 381, 386, 390, 395, 400, 405, 410, 415, 419, 424, 429, 434, 439, 444, 448, 453, 458, 463, 468, 472, 475, 480, 485, 490, 495, 499, 502 }

B grade: { 1, 2, 3, 4, 8, 9, 10, 11, 16, 17, 18, 19, 30, 68, 69, 70, 96, 97, 98, 102, 103, 104, 110, 115, 118, 119, 120, 121, 157, 158, 159, 163, 164, 165, 189, 190, 195, 196, 201, 202, 208, 214, 220, 226, 231, 236, 241, 246, 251, 256, 259, 260, 261, 262, 265, 266, 267, 268, 274, 279, 280, 286, 292, 297, 302, 307, 312, 316, 321, 324, 336, 341, 346, 351, 356, 360, 365, 370, 375, 380, 385, 389, 394, 399, 404, 409, 414, 418, 423, 428, 433, 443, 452, 457, 462, 467, 471, 474, 479, 484, 489, 494, 498, 501 }

C grade: { }

F grade: { 5, 6, 7, 12, 13, 14, 15, 20, 21, 22, 23, 24, 25, 28, 29, 33, 34, 35, 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, 71, 73, 74, 75, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 99, 100, 101, 105, 106, 107, 108, 109, 113, 114, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 141, 142, 143, 146, 147, 148, 152, 153, 154, 160, 161, 162, 166, 167, 168, 169, 170, 171, 174, 175, 178, 182, 183, 184, 187, 188, 193, 194, 199, 200, 205, 206, 207, 211, 212, 213, 217, 218, 219, 223, 224, 225, 228, 229, 230, 233, 234, 235, 238, 239, 240, 243, 244, 245, 248, 249, 250, 253, 254, 255, 263, 264, 269, 270, 271, 272, 273, 277, 278, 283, 284, 285, 289, 290, 291, 294, 295, 296, 299, 300, 301, 304, 305, 306, 309, 310, 311, 314, 315, 322, 323, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 338, 339, 340, 343, 344, 345, 348, 349, 350, 353, 354, 355, 358, 359, 362, 363, 364, 367, 368, 369, 372, 373, 374, 377, 378, 379, 382, 383, 384, 387, 388, 391, 392, 393, 396, 397, 398, 401, 402, 403, 406, 407, 408, 411, 412, 413, 416, 417, 420, 421, 422, 425, 426, 427, 430, 431, 432, 435, 436, 437, 438, 440, 441, 442, 445, 446, 447, 449, 450, 451, 454, 455, 456, 459, 460, 461, 464, 465, 466, 469, 470, 473, 476, 477, 478, 481, 482, 483, 486, 487, 488, 491, 492, 493, 496, 497, 500 }

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