Sr Examen
Integral de (6x^7-7x^5+7)^13*6x^6-5x^4 dx
Solución
Ha introducido
[src]
1 / | | / 13 \ | |/ 7 5 \ 6 4| | \\6*x - 7*x + 7/ *6*x - 5*x / dx | / 0
$$\int\limits_{0}^{1} \left(x^{6} \cdot 6 \left(\left(6 x^{7} - 7 x^{5}\right) + 7\right)^{13} - 5 x^{4}\right)\, dx$$
Integral(((6*x^7 - 7*x^5 + 7)^13*6)*x^6 - 5*x^4, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | / 13 \ 53 67 43 46 71 57 74 47 50 64 29 32 85 19 89 92 12 98 94 87 17 75 82 27 86 52 68 37 83 73 76 34 72 31 38 79 61 69 51 59 58 41 62 | |/ 7 5 \ 6 4| 5 60 63 56 36 39 70 49 40 77 33 78 81 42 26 22 84 88 96 91 7 14 90 21 28 80 35 54 24 66 44 45 65 48 55 26384688765122688*x 19377111954013086*x 12564137507201280*x 7695534223160784*x 6415354489720176*x 6406135918322140*x 4150618845257430*x 2021061532612122*x 1884620626080192*x 1677332834476299*x 1425098930214960*x 374088469181427*x 83042553065472*x 77732668920816*x 16639324176384*x 8897416399872*x 1259557135291*x 39182082048*x 4159831044096*x 35589665599488*x 45344056870476*x 106934907983904*x 119692906036704*x 138551284882010*x 169545212508672*x 356795415144861*x 905404514054040*x 997569251150472*x 1089933508984320*x 1132855559035200*x 1263260593573524*x 1603236296491830*x 1615292219058329*x 1832270053133520*x 2355775782600240*x 2769238470974976*x 3462267609296496*x 4589486561984688*x 5130356148773856*x 6882616482709968*x 10993620318801120*x 10993620318801120*x 12092746282080282*x | \\6*x - 7*x + 7/ *6*x - 5*x / dx = C - x - 471155156520048*x - 195970647704832*x - 190259462388996*x - 152689171094460*x - 131547593558304*x - 113902033557312*x - 96627564345312*x - 50480909627148*x - 35501932537344*x - 31727619967680*x - 26604690667632*x - 25117809260544*x - 15509867673300*x - 14094385024104*x - 7557342811746*x - 4610545640064*x - 2477121611328*x - 12380449536*x + 13060694016*x + 83047723206*x + 462694457862*x + 1153368792576*x + 1586380998384*x + 3739326639048*x + 4980744370602*x + 6410274238368*x + 8096928185346*x + 17813736627687*x + 49304338214040*x + 136032170611428*x + 179487678674304*x + 289941634781568*x + 458067513283380*x + 513987443476416*x - --------------------- - --------------------- - --------------------- - -------------------- - -------------------- - -------------------- - -------------------- - -------------------- - -------------------- - -------------------- - -------------------- - ------------------- - ------------------ - ------------------ - ------------------ - ----------------- - ----------------- + --------------- + ----------------- + ------------------ + ------------------ + ------------------- + ------------------- + ------------------- + ------------------- + ------------------- + ------------------- + ------------------- + -------------------- + -------------------- + -------------------- + -------------------- + -------------------- + -------------------- + -------------------- + -------------------- + -------------------- + -------------------- + -------------------- + -------------------- + --------------------- + --------------------- + --------------------- | 53 67 43 23 71 19 37 47 5 8 29 16 17 19 89 23 2 49 47 29 17 5 41 9 43 2 17 37 83 73 19 17 12 31 19 79 61 23 17 59 29 41 31 /
$$\int \left(x^{6} \cdot 6 \left(\left(6 x^{7} - 7 x^{5}\right) + 7\right)^{13} - 5 x^{4}\right)\, dx = C + \frac{39182082048 x^{98}}{49} - 12380449536 x^{96} + \frac{4159831044096 x^{94}}{47} - \frac{8897416399872 x^{92}}{23} + 13060694016 x^{91} + 1153368792576 x^{90} - \frac{16639324176384 x^{89}}{89} - 2477121611328 x^{88} + \frac{35589665599488 x^{87}}{29} + \frac{169545212508672 x^{86}}{43} - \frac{83042553065472 x^{85}}{17} - 4610545640064 x^{84} + \frac{1089933508984320 x^{83}}{83} + \frac{119692906036704 x^{82}}{41} - 25117809260544 x^{81} + 4980744370602 x^{80} + \frac{2769238470974976 x^{79}}{79} - 26604690667632 x^{78} - 35501932537344 x^{77} + \frac{1263260593573524 x^{76}}{19} + \frac{106934907983904 x^{75}}{5} - \frac{4150618845257430 x^{74}}{37} + \frac{1132855559035200 x^{73}}{73} + \frac{1615292219058329 x^{72}}{12} - \frac{6415354489720176 x^{71}}{71} - 113902033557312 x^{70} + \frac{4589486561984688 x^{69}}{23} + \frac{905404514054040 x^{68}}{17} - \frac{19377111954013086 x^{67}}{67} + 49304338214040 x^{66} + 289941634781568 x^{65} - \frac{1677332834476299 x^{64}}{8} - 195970647704832 x^{63} + \frac{12092746282080282 x^{62}}{31} + \frac{3462267609296496 x^{61}}{61} - 471155156520048 x^{60} + \frac{6882616482709968 x^{59}}{59} + \frac{10993620318801120 x^{58}}{29} - \frac{6406135918322140 x^{57}}{19} - 190259462388996 x^{56} + 513987443476416 x^{55} + 8096928185346 x^{54} - \frac{26384688765122688 x^{53}}{53} + \frac{356795415144861 x^{52}}{2} + \frac{5130356148773856 x^{51}}{17} - \frac{1884620626080192 x^{50}}{5} - 96627564345312 x^{49} + 458067513283380 x^{48} - \frac{2021061532612122 x^{47}}{47} - \frac{7695534223160784 x^{46}}{23} + 179487678674304 x^{45} + 136032170611428 x^{44} - \frac{12564137507201280 x^{43}}{43} - 15509867673300 x^{42} + \frac{10993620318801120 x^{41}}{41} - 50480909627148 x^{40} - 131547593558304 x^{39} + \frac{2355775782600240 x^{38}}{19} + \frac{997569251150472 x^{37}}{37} - 152689171094460 x^{36} + 6410274238368 x^{35} + \frac{1603236296491830 x^{34}}{17} - 31727619967680 x^{33} - \frac{374088469181427 x^{32}}{16} + \frac{1832270053133520 x^{31}}{31} - \frac{1425098930214960 x^{29}}{29} + 3739326639048 x^{28} + \frac{138551284882010 x^{27}}{9} - 14094385024104 x^{26} + 17813736627687 x^{24} - 7557342811746 x^{22} + 1586380998384 x^{21} - \frac{77732668920816 x^{19}}{19} + \frac{45344056870476 x^{17}}{17} + 462694457862 x^{14} - \frac{1259557135291 x^{12}}{2} + 83047723206 x^{7} - x^{5}$$
Gráfica
Respuesta
[src]
13342770892250363761607914455280344609115973
--------------------------------------------
1214092015380374742921644973252720
$$\frac{13342770892250363761607914455280344609115973}{1214092015380374742921644973252720}$$
=
=
13342770892250363761607914455280344609115973
--------------------------------------------
1214092015380374742921644973252720
$$\frac{13342770892250363761607914455280344609115973}{1214092015380374742921644973252720}$$
13342770892250363761607914455280344609115973/1214092015380374742921644973252720
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.