Sr Examen

Otras calculadoras

Integral de (sin²3x×cos²5x×dx) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src]
  1                     
  /                     
 |                      
 |     23       25      
 |  sin  (x)*cos  (x) dx
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \sin^{23}{\left(x \right)} \cos^{25}{\left(x \right)}\, dx$$
Integral(sin(x)^23*cos(x)^25, (x, 0, 1))
Gráfica
Respuesta [src]
                  38             34            42            30            46         26         48           44            28            40            36             32   
   1       231*cos  (1)   165*cos  (1)   55*cos  (1)   11*cos  (1)   11*cos  (1)   cos  (1)   cos  (1)   5*cos  (1)   11*cos  (1)   33*cos  (1)   77*cos  (1)   165*cos  (1)
-------- - ------------ - ------------ - ----------- - ----------- - ----------- - -------- + -------- + ---------- + ----------- + ----------- + ----------- + ------------
64899744        19             17             14            6             46          26         48          4             28            4             6             32     
$$- \frac{11 \cos^{30}{\left(1 \right)}}{6} - \frac{165 \cos^{34}{\left(1 \right)}}{17} - \frac{\cos^{26}{\left(1 \right)}}{26} - \frac{231 \cos^{38}{\left(1 \right)}}{19} - \frac{55 \cos^{42}{\left(1 \right)}}{14} - \frac{11 \cos^{46}{\left(1 \right)}}{46} + \frac{\cos^{48}{\left(1 \right)}}{48} + \frac{5 \cos^{44}{\left(1 \right)}}{4} + \frac{33 \cos^{40}{\left(1 \right)}}{4} + \frac{77 \cos^{36}{\left(1 \right)}}{6} + \frac{11 \cos^{28}{\left(1 \right)}}{28} + \frac{165 \cos^{32}{\left(1 \right)}}{32} + \frac{1}{64899744}$$
=
=
                  38             34            42            30            46         26         48           44            28            40            36             32   
   1       231*cos  (1)   165*cos  (1)   55*cos  (1)   11*cos  (1)   11*cos  (1)   cos  (1)   cos  (1)   5*cos  (1)   11*cos  (1)   33*cos  (1)   77*cos  (1)   165*cos  (1)
-------- - ------------ - ------------ - ----------- - ----------- - ----------- - -------- + -------- + ---------- + ----------- + ----------- + ----------- + ------------
64899744        19             17             14            6             46          26         48          4             28            4             6             32     
$$- \frac{11 \cos^{30}{\left(1 \right)}}{6} - \frac{165 \cos^{34}{\left(1 \right)}}{17} - \frac{\cos^{26}{\left(1 \right)}}{26} - \frac{231 \cos^{38}{\left(1 \right)}}{19} - \frac{55 \cos^{42}{\left(1 \right)}}{14} - \frac{11 \cos^{46}{\left(1 \right)}}{46} + \frac{\cos^{48}{\left(1 \right)}}{48} + \frac{5 \cos^{44}{\left(1 \right)}}{4} + \frac{33 \cos^{40}{\left(1 \right)}}{4} + \frac{77 \cos^{36}{\left(1 \right)}}{6} + \frac{11 \cos^{28}{\left(1 \right)}}{28} + \frac{165 \cos^{32}{\left(1 \right)}}{32} + \frac{1}{64899744}$$
1/64899744 - 231*cos(1)^38/19 - 165*cos(1)^34/17 - 55*cos(1)^42/14 - 11*cos(1)^30/6 - 11*cos(1)^46/46 - cos(1)^26/26 + cos(1)^48/48 + 5*cos(1)^44/4 + 11*cos(1)^28/28 + 33*cos(1)^40/4 + 77*cos(1)^36/6 + 165*cos(1)^32/32
Respuesta numérica [src]
1.52696056013031e-8
1.52696056013031e-8

    Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.