Opiskelupolut
Suositellut opiskelupolut
Juuri 9 Integraalilaskentaa Opiskelijapolut
|
AS 5-6 |
101 102 103 104 105 |
|
AS 7-8 |
101 102 103 104 105 106 107 108 110 112 113 |
|
AS 9-10 |
101 102 103 104 105 106 107 108 110 112 113 116 119 |
1.2 Polynomifunktion integrointi
|
AS 5-6 |
121 122 123 124 125 |
|
AS 7-8 |
121 122 123 124 125 126 127 129 130 134 |
|
AS 9-10 |
121 122 123 124 125 126 127 129 130 134 135 136 141 143 |
1.3 Yleisen potenssifunktion integrointi
|
AS 5-6 |
144 145 146 147 148 |
|
AS 7-8 |
144 145 146 147 148 149 151 152 153 155 157 |
|
AS 9-10 |
144 145 146 147 148 149 151 152 153 155 157 160 162 |
2.1 Funktion potenssin integrointi
|
AS 5-6 |
201 202 203 204 205 206 207 |
|
AS 7-8 |
201 202 203 204 205 206 207 208 209 211 213 214 217 220 |
|
AS 9-10 |
201 202 203 204 205 206 207 208 209 211 212 214 217 219 220 222 223 224 228 |
2.2 Eksponentti- ja trigonometristen funktioiden integrointi
|
AS 5-6 |
229 230 231 232 233 234 |
|
AS 7-8 |
229 230 231 232 233 234 235 236 238 239 242 245 247 |
|
AS 9-10 |
|
3.1 Pinta-alafunktio (1 h)
|
AS 5-6 |
301 302 303 304 305 |
|
AS 7-8 |
301 302 303 304 305 306 307 309 310 |
|
AS 9-10 |
301 302 303 304 305 306 307 309 310 312 313 315 316 |
3.2 Määrätty integraali (2 h)
|
AS 5-6 |
319 320 321 322 323 324 |
|
AS 7-8 |
319 320 321 322 323 324 325 326 327 328 330 332 333 336 339 |
|
AS 9-10 |
|
4.1 Pinta-alasovelluksia (2 h)
|
AS 5-6 |
401 402 403 404 405 406 407 |
|
AS 7-8 |
401 402 403 404 405 406 407 408 409 410 412 416 418 |
|
AS 9-10 |
401 402 403 404 405 406 407 408 409 411 412 413 414 415 418 421 423 424 429 |
4.2 Kahden käyrän rajaaman alueen pinta-ala (1 h)
|
AS 5-6 |
430 431 432 433 |
|
AS 7-8 |
430 431 432 433 434 435 436 437 441 443 |
|
AS 9-10 |
430 431 432 433 434 435 436 438 440 442 445 446 447 449 |
5.1 Pyörähdyskappaleen tilavuus (2 h)
|
AS 5-6 |
501 502 503 504 505 506 507 (528c yhdessä) |
|
AS 7-8 |
501 502 503 504 505 506 507 508 510 511 513 514 516 (yhdessä 528c) |
|
AS 9-10 |
501 502 503 504 505 506 507 509 511 512 514 516 517 518 519 520 522 523 524 (yhdessä 528c) |
5.2 Muita tilavuustarkasteluja (1 h)
|
AS 5-6 |
529 530 531 532 |
|
AS 7-8 |
529 530 531 532 533 534 537 |
|
AS 9-10 |
529 530 531 532 533 534 536 539 540 542 544 |