Sr Examen
Integral de ctg^32xdx dx
Solución
Ha introducido
[src]
1 / | | 32 | cot (x) dx | / 0
$$\int\limits_{0}^{1} \cot^{32}{\left(x \right)}\, dx$$
Integral(cot(x)^32, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | 3 7 11 15 19 23 27 31 5 9 13 17 21 25 29 | 32 cos(x) cos (x) cos (x) cos (x) cos (x) cos (x) cos (x) cos (x) cos (x) cos (x) cos (x) cos (x) cos (x) cos (x) cos (x) cos (x) | cot (x) dx = C + x + ------ - --------- - --------- - ----------- - ----------- - ----------- - ----------- - ----------- - ----------- + --------- + --------- + ----------- + ----------- + ----------- + ----------- + ----------- | sin(x) 3 7 11 15 19 23 27 31 5 9 13 17 21 25 29 / 3*sin (x) 7*sin (x) 11*sin (x) 15*sin (x) 19*sin (x) 23*sin (x) 27*sin (x) 31*sin (x) 5*sin (x) 9*sin (x) 13*sin (x) 17*sin (x) 21*sin (x) 25*sin (x) 29*sin (x)
$$\int \cot^{32}{\left(x \right)}\, dx = C + x + \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} - \frac{\cos^{3}{\left(x \right)}}{3 \sin^{3}{\left(x \right)}} + \frac{\cos^{5}{\left(x \right)}}{5 \sin^{5}{\left(x \right)}} - \frac{\cos^{7}{\left(x \right)}}{7 \sin^{7}{\left(x \right)}} + \frac{\cos^{9}{\left(x \right)}}{9 \sin^{9}{\left(x \right)}} - \frac{\cos^{11}{\left(x \right)}}{11 \sin^{11}{\left(x \right)}} + \frac{\cos^{13}{\left(x \right)}}{13 \sin^{13}{\left(x \right)}} - \frac{\cos^{15}{\left(x \right)}}{15 \sin^{15}{\left(x \right)}} + \frac{\cos^{17}{\left(x \right)}}{17 \sin^{17}{\left(x \right)}} - \frac{\cos^{19}{\left(x \right)}}{19 \sin^{19}{\left(x \right)}} + \frac{\cos^{21}{\left(x \right)}}{21 \sin^{21}{\left(x \right)}} - \frac{\cos^{23}{\left(x \right)}}{23 \sin^{23}{\left(x \right)}} + \frac{\cos^{25}{\left(x \right)}}{25 \sin^{25}{\left(x \right)}} - \frac{\cos^{27}{\left(x \right)}}{27 \sin^{27}{\left(x \right)}} + \frac{\cos^{29}{\left(x \right)}}{29 \sin^{29}{\left(x \right)}} - \frac{\cos^{31}{\left(x \right)}}{31 \sin^{31}{\left(x \right)}}$$
Gráfica
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.