Sr Examen
Integral de cos^24x dx
Solución
Ha introducido
[src]
1 / | | 24 | cos (x) dx | / 0
$$\int\limits_{0}^{1} \cos^{24}{\left(x \right)}\, dx$$
Integral(cos(x)^24, (x, 0, 1))
Gráfica
Respuesta
[src]
23 21 19 17 13 15 7 9 11 3 5 676039 cos (1)*sin(1) 23*cos (1)*sin(1) 161*cos (1)*sin(1) 3059*cos (1)*sin(1) 7429*cos (1)*sin(1) 52003*cos (1)*sin(1) 96577*cos (1)*sin(1) 96577*cos (1)*sin(1) 96577*cos (1)*sin(1) 676039*cos(1)*sin(1) 676039*cos (1)*sin(1) 676039*cos (1)*sin(1) ------- + --------------- + ------------------ + ------------------- + -------------------- + -------------------- + --------------------- + -------------------- + -------------------- + --------------------- + -------------------- + --------------------- + --------------------- 4194304 24 528 3520 63360 135168 1013760 1310720 1474560 1622016 4194304 6291456 7864320
$$\frac{\sin{\left(1 \right)} \cos^{23}{\left(1 \right)}}{24} + \frac{23 \sin{\left(1 \right)} \cos^{21}{\left(1 \right)}}{528} + \frac{161 \sin{\left(1 \right)} \cos^{19}{\left(1 \right)}}{3520} + \frac{3059 \sin{\left(1 \right)} \cos^{17}{\left(1 \right)}}{63360} + \frac{52003 \sin{\left(1 \right)} \cos^{15}{\left(1 \right)}}{1013760} + \frac{7429 \sin{\left(1 \right)} \cos^{13}{\left(1 \right)}}{135168} + \frac{96577 \sin{\left(1 \right)} \cos^{11}{\left(1 \right)}}{1622016} + \frac{96577 \sin{\left(1 \right)} \cos^{9}{\left(1 \right)}}{1474560} + \frac{96577 \sin{\left(1 \right)} \cos^{7}{\left(1 \right)}}{1310720} + \frac{676039 \sin{\left(1 \right)} \cos^{5}{\left(1 \right)}}{7864320} + \frac{676039 \sin{\left(1 \right)} \cos^{3}{\left(1 \right)}}{6291456} + \frac{676039 \sin{\left(1 \right)} \cos{\left(1 \right)}}{4194304} + \frac{676039}{4194304}$$
=
=
23 21 19 17 13 15 7 9 11 3 5 676039 cos (1)*sin(1) 23*cos (1)*sin(1) 161*cos (1)*sin(1) 3059*cos (1)*sin(1) 7429*cos (1)*sin(1) 52003*cos (1)*sin(1) 96577*cos (1)*sin(1) 96577*cos (1)*sin(1) 96577*cos (1)*sin(1) 676039*cos(1)*sin(1) 676039*cos (1)*sin(1) 676039*cos (1)*sin(1) ------- + --------------- + ------------------ + ------------------- + -------------------- + -------------------- + --------------------- + -------------------- + -------------------- + --------------------- + -------------------- + --------------------- + --------------------- 4194304 24 528 3520 63360 135168 1013760 1310720 1474560 1622016 4194304 6291456 7864320
$$\frac{\sin{\left(1 \right)} \cos^{23}{\left(1 \right)}}{24} + \frac{23 \sin{\left(1 \right)} \cos^{21}{\left(1 \right)}}{528} + \frac{161 \sin{\left(1 \right)} \cos^{19}{\left(1 \right)}}{3520} + \frac{3059 \sin{\left(1 \right)} \cos^{17}{\left(1 \right)}}{63360} + \frac{52003 \sin{\left(1 \right)} \cos^{15}{\left(1 \right)}}{1013760} + \frac{7429 \sin{\left(1 \right)} \cos^{13}{\left(1 \right)}}{135168} + \frac{96577 \sin{\left(1 \right)} \cos^{11}{\left(1 \right)}}{1622016} + \frac{96577 \sin{\left(1 \right)} \cos^{9}{\left(1 \right)}}{1474560} + \frac{96577 \sin{\left(1 \right)} \cos^{7}{\left(1 \right)}}{1310720} + \frac{676039 \sin{\left(1 \right)} \cos^{5}{\left(1 \right)}}{7864320} + \frac{676039 \sin{\left(1 \right)} \cos^{3}{\left(1 \right)}}{6291456} + \frac{676039 \sin{\left(1 \right)} \cos{\left(1 \right)}}{4194304} + \frac{676039}{4194304}$$
676039/4194304 + cos(1)^23*sin(1)/24 + 23*cos(1)^21*sin(1)/528 + 161*cos(1)^19*sin(1)/3520 + 3059*cos(1)^17*sin(1)/63360 + 7429*cos(1)^13*sin(1)/135168 + 52003*cos(1)^15*sin(1)/1013760 + 96577*cos(1)^7*sin(1)/1310720 + 96577*cos(1)^9*sin(1)/1474560 + 96577*cos(1)^11*sin(1)/1622016 + 676039*cos(1)*sin(1)/4194304 + 676039*cos(1)^3*sin(1)/6291456 + 676039*cos(1)^5*sin(1)/7864320
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.