Integral de cos^26x dx

Solución

Ha introducido [src]

  1            
  /            
 |             
 |     26      
 |  cos  (x) dx
 |             
/              
0

\int\limits_{0}^{1} \cos^{26}{\left(x \right)}\, dx

Integral(cos(x)^26, (x, 0, 1))

Gráfica

Trazar el gráfico f(x)

Respuesta [src]

             25                   23                    21                    19                      17                      7                      9                       11                       13                       5                       15                                                3          
1300075   cos  (1)*sin(1)   25*cos  (1)*sin(1)   575*cos  (1)*sin(1)   805*cos  (1)*sin(1)   15295*cos  (1)*sin(1)   37145*cos (1)*sin(1)   37145*cos (1)*sin(1)   185725*cos  (1)*sin(1)   185725*cos  (1)*sin(1)   260015*cos (1)*sin(1)   260015*cos  (1)*sin(1)   1300075*cos(1)*sin(1)   1300075*cos (1)*sin(1)
------- + --------------- + ------------------ + ------------------- + ------------------- + --------------------- + -------------------- + -------------------- + ---------------------- + ---------------------- + --------------------- + ---------------------- + --------------------- + ----------------------
8388608          26                624                  13728                 18304                  329472                 524288                 589824                 3244032                  3514368                  3145728                 5271552                  8388608                 12582912

\frac{\sin{\left(1 \right)} \cos^{25}{\left(1 \right)}}{26} + \frac{25 \sin{\left(1 \right)} \cos^{23}{\left(1 \right)}}{624} + \frac{575 \sin{\left(1 \right)} \cos^{21}{\left(1 \right)}}{13728} + \frac{805 \sin{\left(1 \right)} \cos^{19}{\left(1 \right)}}{18304} + \frac{15295 \sin{\left(1 \right)} \cos^{17}{\left(1 \right)}}{329472} + \frac{260015 \sin{\left(1 \right)} \cos^{15}{\left(1 \right)}}{5271552} + \frac{185725 \sin{\left(1 \right)} \cos^{13}{\left(1 \right)}}{3514368} + \frac{185725 \sin{\left(1 \right)} \cos^{11}{\left(1 \right)}}{3244032} + \frac{37145 \sin{\left(1 \right)} \cos^{9}{\left(1 \right)}}{589824} + \frac{37145 \sin{\left(1 \right)} \cos^{7}{\left(1 \right)}}{524288} + \frac{260015 \sin{\left(1 \right)} \cos^{5}{\left(1 \right)}}{3145728} + \frac{1300075 \sin{\left(1 \right)} \cos^{3}{\left(1 \right)}}{12582912} + \frac{1300075 \sin{\left(1 \right)} \cos{\left(1 \right)}}{8388608} + \frac{1300075}{8388608}

             25                   23                    21                    19                      17                      7                      9                       11                       13                       5                       15                                                3          
1300075   cos  (1)*sin(1)   25*cos  (1)*sin(1)   575*cos  (1)*sin(1)   805*cos  (1)*sin(1)   15295*cos  (1)*sin(1)   37145*cos (1)*sin(1)   37145*cos (1)*sin(1)   185725*cos  (1)*sin(1)   185725*cos  (1)*sin(1)   260015*cos (1)*sin(1)   260015*cos  (1)*sin(1)   1300075*cos(1)*sin(1)   1300075*cos (1)*sin(1)
------- + --------------- + ------------------ + ------------------- + ------------------- + --------------------- + -------------------- + -------------------- + ---------------------- + ---------------------- + --------------------- + ---------------------- + --------------------- + ----------------------
8388608          26                624                  13728                 18304                  329472                 524288                 589824                 3244032                  3514368                  3145728                 5271552                  8388608                 12582912

\frac{\sin{\left(1 \right)} \cos^{25}{\left(1 \right)}}{26} + \frac{25 \sin{\left(1 \right)} \cos^{23}{\left(1 \right)}}{624} + \frac{575 \sin{\left(1 \right)} \cos^{21}{\left(1 \right)}}{13728} + \frac{805 \sin{\left(1 \right)} \cos^{19}{\left(1 \right)}}{18304} + \frac{15295 \sin{\left(1 \right)} \cos^{17}{\left(1 \right)}}{329472} + \frac{260015 \sin{\left(1 \right)} \cos^{15}{\left(1 \right)}}{5271552} + \frac{185725 \sin{\left(1 \right)} \cos^{13}{\left(1 \right)}}{3514368} + \frac{185725 \sin{\left(1 \right)} \cos^{11}{\left(1 \right)}}{3244032} + \frac{37145 \sin{\left(1 \right)} \cos^{9}{\left(1 \right)}}{589824} + \frac{37145 \sin{\left(1 \right)} \cos^{7}{\left(1 \right)}}{524288} + \frac{260015 \sin{\left(1 \right)} \cos^{5}{\left(1 \right)}}{3145728} + \frac{1300075 \sin{\left(1 \right)} \cos^{3}{\left(1 \right)}}{12582912} + \frac{1300075 \sin{\left(1 \right)} \cos{\left(1 \right)}}{8388608} + \frac{1300075}{8388608}

1300075/8388608 + cos(1)^25*sin(1)/26 + 25*cos(1)^23*sin(1)/624 + 575*cos(1)^21*sin(1)/13728 + 805*cos(1)^19*sin(1)/18304 + 15295*cos(1)^17*sin(1)/329472 + 37145*cos(1)^7*sin(1)/524288 + 37145*cos(1)^9*sin(1)/589824 + 185725*cos(1)^11*sin(1)/3244032 + 185725*cos(1)^13*sin(1)/3514368 + 260015*cos(1)^5*sin(1)/3145728 + 260015*cos(1)^15*sin(1)/5271552 + 1300075*cos(1)*sin(1)/8388608 + 1300075*cos(1)^3*sin(1)/12582912

Respuesta numérica [src]

0.243443609780557

0.243443609780557

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

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones con funciones

Integral de cos^26x dx

Límites de integración:

Gráfico:

Definida a trozos:

Solución