Sr Examen
Integral de sin8x/9+sin^44x dx
Solución
Ha introducido
[src]
1 / | | /sin(8*x) 44 \ | |-------- + sin (x)| dx | \ 9 / | / 0
$$\int\limits_{0}^{1} \left(\sin^{44}{\left(x \right)} + \frac{\sin{\left(8 x \right)}}{9}\right)\, dx$$
Integral(sin(8*x)/9 + sin(x)^44, (x, 0, 1))
Gráfica
Respuesta
[src]
3 11 7 5 9 13 21 19 15 17 27 23 25 29 31 33 35 37 39 41 43 2641989241129 cos(8) 263012370465*cos(1)*sin(1) 87670790155*sin (1)*cos(1) 87670790155*sin (1)*cos(1) 52602474093*sin (1)*cos(1) 17534158031*sin (1)*cos(1) 17534158031*sin (1)*cos(1) 6743906935*sin (1)*cos(1) 6743906935*sin (1)*cos(1) 4046344161*sin (1)*cos(1) 1348781387*sin (1)*cos(1) 1348781387*sin (1)*cos(1) 762354697*sin (1)*cos(1) 293213345*sin (1)*cos(1) 175928007*sin (1)*cos(1) 26288093*sin (1)*cos(1) 848003*sin (1)*cos(1) 848003*sin (1)*cos(1) 848003*sin (1)*cos(1) 22919*sin (1)*cos(1) 1763*sin (1)*cos(1) 43*sin (1)*cos(1) sin (1)*cos(1) -------------- - ------ - -------------------------- - -------------------------- - --------------------------- - -------------------------- - -------------------------- - -------------------------- - -------------------------- - -------------------------- - -------------------------- - -------------------------- - -------------------------- - ------------------------- - ------------------------- - ------------------------- - ------------------------ - ---------------------- - ---------------------- - ---------------------- - --------------------- - -------------------- - ------------------ - --------------- 19791209299968 72 2199023255552 1099511627776 1984274890752 962072674304 274877906944 360777252864 165356240896 208633069568 119218896896 35433480192 37648072704 26671841280 9483321344 5927075840 952565760 31752192 32744448 33707520 936320 73920 1848 44
$$- \frac{263012370465 \sin{\left(1 \right)} \cos{\left(1 \right)}}{2199023255552} - \frac{87670790155 \sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{1099511627776} - \frac{17534158031 \sin^{5}{\left(1 \right)} \cos{\left(1 \right)}}{274877906944} - \frac{52602474093 \sin^{7}{\left(1 \right)} \cos{\left(1 \right)}}{962072674304} - \frac{17534158031 \sin^{9}{\left(1 \right)} \cos{\left(1 \right)}}{360777252864} - \frac{87670790155 \sin^{11}{\left(1 \right)} \cos{\left(1 \right)}}{1984274890752} - \frac{6743906935 \sin^{13}{\left(1 \right)} \cos{\left(1 \right)}}{165356240896} - \frac{1348781387 \sin^{15}{\left(1 \right)} \cos{\left(1 \right)}}{35433480192} - \frac{1348781387 \sin^{17}{\left(1 \right)} \cos{\left(1 \right)}}{37648072704} - \frac{4046344161 \sin^{19}{\left(1 \right)} \cos{\left(1 \right)}}{119218896896} - \frac{6743906935 \sin^{21}{\left(1 \right)} \cos{\left(1 \right)}}{208633069568} - \frac{293213345 \sin^{23}{\left(1 \right)} \cos{\left(1 \right)}}{9483321344} - \frac{175928007 \sin^{25}{\left(1 \right)} \cos{\left(1 \right)}}{5927075840} - \frac{762354697 \sin^{27}{\left(1 \right)} \cos{\left(1 \right)}}{26671841280} - \frac{26288093 \sin^{29}{\left(1 \right)} \cos{\left(1 \right)}}{952565760} - \frac{848003 \sin^{31}{\left(1 \right)} \cos{\left(1 \right)}}{31752192} - \frac{848003 \sin^{33}{\left(1 \right)} \cos{\left(1 \right)}}{32744448} - \frac{848003 \sin^{35}{\left(1 \right)} \cos{\left(1 \right)}}{33707520} - \frac{22919 \sin^{37}{\left(1 \right)} \cos{\left(1 \right)}}{936320} - \frac{1763 \sin^{39}{\left(1 \right)} \cos{\left(1 \right)}}{73920} - \frac{43 \sin^{41}{\left(1 \right)} \cos{\left(1 \right)}}{1848} - \frac{\sin^{43}{\left(1 \right)} \cos{\left(1 \right)}}{44} - \frac{\cos{\left(8 \right)}}{72} + \frac{2641989241129}{19791209299968}$$
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3 11 7 5 9 13 21 19 15 17 27 23 25 29 31 33 35 37 39 41 43 2641989241129 cos(8) 263012370465*cos(1)*sin(1) 87670790155*sin (1)*cos(1) 87670790155*sin (1)*cos(1) 52602474093*sin (1)*cos(1) 17534158031*sin (1)*cos(1) 17534158031*sin (1)*cos(1) 6743906935*sin (1)*cos(1) 6743906935*sin (1)*cos(1) 4046344161*sin (1)*cos(1) 1348781387*sin (1)*cos(1) 1348781387*sin (1)*cos(1) 762354697*sin (1)*cos(1) 293213345*sin (1)*cos(1) 175928007*sin (1)*cos(1) 26288093*sin (1)*cos(1) 848003*sin (1)*cos(1) 848003*sin (1)*cos(1) 848003*sin (1)*cos(1) 22919*sin (1)*cos(1) 1763*sin (1)*cos(1) 43*sin (1)*cos(1) sin (1)*cos(1) -------------- - ------ - -------------------------- - -------------------------- - --------------------------- - -------------------------- - -------------------------- - -------------------------- - -------------------------- - -------------------------- - -------------------------- - -------------------------- - -------------------------- - ------------------------- - ------------------------- - ------------------------- - ------------------------ - ---------------------- - ---------------------- - ---------------------- - --------------------- - -------------------- - ------------------ - --------------- 19791209299968 72 2199023255552 1099511627776 1984274890752 962072674304 274877906944 360777252864 165356240896 208633069568 119218896896 35433480192 37648072704 26671841280 9483321344 5927075840 952565760 31752192 32744448 33707520 936320 73920 1848 44
$$- \frac{263012370465 \sin{\left(1 \right)} \cos{\left(1 \right)}}{2199023255552} - \frac{87670790155 \sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{1099511627776} - \frac{17534158031 \sin^{5}{\left(1 \right)} \cos{\left(1 \right)}}{274877906944} - \frac{52602474093 \sin^{7}{\left(1 \right)} \cos{\left(1 \right)}}{962072674304} - \frac{17534158031 \sin^{9}{\left(1 \right)} \cos{\left(1 \right)}}{360777252864} - \frac{87670790155 \sin^{11}{\left(1 \right)} \cos{\left(1 \right)}}{1984274890752} - \frac{6743906935 \sin^{13}{\left(1 \right)} \cos{\left(1 \right)}}{165356240896} - \frac{1348781387 \sin^{15}{\left(1 \right)} \cos{\left(1 \right)}}{35433480192} - \frac{1348781387 \sin^{17}{\left(1 \right)} \cos{\left(1 \right)}}{37648072704} - \frac{4046344161 \sin^{19}{\left(1 \right)} \cos{\left(1 \right)}}{119218896896} - \frac{6743906935 \sin^{21}{\left(1 \right)} \cos{\left(1 \right)}}{208633069568} - \frac{293213345 \sin^{23}{\left(1 \right)} \cos{\left(1 \right)}}{9483321344} - \frac{175928007 \sin^{25}{\left(1 \right)} \cos{\left(1 \right)}}{5927075840} - \frac{762354697 \sin^{27}{\left(1 \right)} \cos{\left(1 \right)}}{26671841280} - \frac{26288093 \sin^{29}{\left(1 \right)} \cos{\left(1 \right)}}{952565760} - \frac{848003 \sin^{31}{\left(1 \right)} \cos{\left(1 \right)}}{31752192} - \frac{848003 \sin^{33}{\left(1 \right)} \cos{\left(1 \right)}}{32744448} - \frac{848003 \sin^{35}{\left(1 \right)} \cos{\left(1 \right)}}{33707520} - \frac{22919 \sin^{37}{\left(1 \right)} \cos{\left(1 \right)}}{936320} - \frac{1763 \sin^{39}{\left(1 \right)} \cos{\left(1 \right)}}{73920} - \frac{43 \sin^{41}{\left(1 \right)} \cos{\left(1 \right)}}{1848} - \frac{\sin^{43}{\left(1 \right)} \cos{\left(1 \right)}}{44} - \frac{\cos{\left(8 \right)}}{72} + \frac{2641989241129}{19791209299968}$$
2641989241129/19791209299968 - cos(8)/72 - 263012370465*cos(1)*sin(1)/2199023255552 - 87670790155*sin(1)^3*cos(1)/1099511627776 - 87670790155*sin(1)^11*cos(1)/1984274890752 - 52602474093*sin(1)^7*cos(1)/962072674304 - 17534158031*sin(1)^5*cos(1)/274877906944 - 17534158031*sin(1)^9*cos(1)/360777252864 - 6743906935*sin(1)^13*cos(1)/165356240896 - 6743906935*sin(1)^21*cos(1)/208633069568 - 4046344161*sin(1)^19*cos(1)/119218896896 - 1348781387*sin(1)^15*cos(1)/35433480192 - 1348781387*sin(1)^17*cos(1)/37648072704 - 762354697*sin(1)^27*cos(1)/26671841280 - 293213345*sin(1)^23*cos(1)/9483321344 - 175928007*sin(1)^25*cos(1)/5927075840 - 26288093*sin(1)^29*cos(1)/952565760 - 848003*sin(1)^31*cos(1)/31752192 - 848003*sin(1)^33*cos(1)/32744448 - 848003*sin(1)^35*cos(1)/33707520 - 22919*sin(1)^37*cos(1)/936320 - 1763*sin(1)^39*cos(1)/73920 - 43*sin(1)^41*cos(1)/1848 - sin(1)^43*cos(1)/44
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.