Sr Examen
Integral de sin²6x/ dx
Solución
Ha introducido
[src]
1 / | | 26 | sin (x) dx | / 0
$$\int\limits_{0}^{1} \sin^{26}{\left(x \right)}\, dx$$
Integral(sin(x)^26, (x, 0, 1))
Gráfica
Respuesta
[src]
3 5 15 11 13 7 9 17 19 21 23 25 1300075 1300075*cos(1)*sin(1) 1300075*sin (1)*cos(1) 260015*sin (1)*cos(1) 260015*sin (1)*cos(1) 185725*sin (1)*cos(1) 185725*sin (1)*cos(1) 37145*sin (1)*cos(1) 37145*sin (1)*cos(1) 15295*sin (1)*cos(1) 805*sin (1)*cos(1) 575*sin (1)*cos(1) 25*sin (1)*cos(1) sin (1)*cos(1) ------- - --------------------- - ---------------------- - --------------------- - ---------------------- - ---------------------- - ---------------------- - -------------------- - -------------------- - --------------------- - ------------------- - ------------------- - ------------------ - --------------- 8388608 8388608 12582912 3145728 5271552 3244032 3514368 524288 589824 329472 18304 13728 624 26
$$- \frac{1300075 \sin{\left(1 \right)} \cos{\left(1 \right)}}{8388608} - \frac{1300075 \sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{12582912} - \frac{260015 \sin^{5}{\left(1 \right)} \cos{\left(1 \right)}}{3145728} - \frac{37145 \sin^{7}{\left(1 \right)} \cos{\left(1 \right)}}{524288} - \frac{37145 \sin^{9}{\left(1 \right)} \cos{\left(1 \right)}}{589824} - \frac{185725 \sin^{11}{\left(1 \right)} \cos{\left(1 \right)}}{3244032} - \frac{185725 \sin^{13}{\left(1 \right)} \cos{\left(1 \right)}}{3514368} - \frac{260015 \sin^{15}{\left(1 \right)} \cos{\left(1 \right)}}{5271552} - \frac{15295 \sin^{17}{\left(1 \right)} \cos{\left(1 \right)}}{329472} - \frac{805 \sin^{19}{\left(1 \right)} \cos{\left(1 \right)}}{18304} - \frac{575 \sin^{21}{\left(1 \right)} \cos{\left(1 \right)}}{13728} - \frac{25 \sin^{23}{\left(1 \right)} \cos{\left(1 \right)}}{624} - \frac{\sin^{25}{\left(1 \right)} \cos{\left(1 \right)}}{26} + \frac{1300075}{8388608}$$
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3 5 15 11 13 7 9 17 19 21 23 25 1300075 1300075*cos(1)*sin(1) 1300075*sin (1)*cos(1) 260015*sin (1)*cos(1) 260015*sin (1)*cos(1) 185725*sin (1)*cos(1) 185725*sin (1)*cos(1) 37145*sin (1)*cos(1) 37145*sin (1)*cos(1) 15295*sin (1)*cos(1) 805*sin (1)*cos(1) 575*sin (1)*cos(1) 25*sin (1)*cos(1) sin (1)*cos(1) ------- - --------------------- - ---------------------- - --------------------- - ---------------------- - ---------------------- - ---------------------- - -------------------- - -------------------- - --------------------- - ------------------- - ------------------- - ------------------ - --------------- 8388608 8388608 12582912 3145728 5271552 3244032 3514368 524288 589824 329472 18304 13728 624 26
$$- \frac{1300075 \sin{\left(1 \right)} \cos{\left(1 \right)}}{8388608} - \frac{1300075 \sin^{3}{\left(1 \right)} \cos{\left(1 \right)}}{12582912} - \frac{260015 \sin^{5}{\left(1 \right)} \cos{\left(1 \right)}}{3145728} - \frac{37145 \sin^{7}{\left(1 \right)} \cos{\left(1 \right)}}{524288} - \frac{37145 \sin^{9}{\left(1 \right)} \cos{\left(1 \right)}}{589824} - \frac{185725 \sin^{11}{\left(1 \right)} \cos{\left(1 \right)}}{3244032} - \frac{185725 \sin^{13}{\left(1 \right)} \cos{\left(1 \right)}}{3514368} - \frac{260015 \sin^{15}{\left(1 \right)} \cos{\left(1 \right)}}{5271552} - \frac{15295 \sin^{17}{\left(1 \right)} \cos{\left(1 \right)}}{329472} - \frac{805 \sin^{19}{\left(1 \right)} \cos{\left(1 \right)}}{18304} - \frac{575 \sin^{21}{\left(1 \right)} \cos{\left(1 \right)}}{13728} - \frac{25 \sin^{23}{\left(1 \right)} \cos{\left(1 \right)}}{624} - \frac{\sin^{25}{\left(1 \right)} \cos{\left(1 \right)}}{26} + \frac{1300075}{8388608}$$
1300075/8388608 - 1300075*cos(1)*sin(1)/8388608 - 1300075*sin(1)^3*cos(1)/12582912 - 260015*sin(1)^5*cos(1)/3145728 - 260015*sin(1)^15*cos(1)/5271552 - 185725*sin(1)^11*cos(1)/3244032 - 185725*sin(1)^13*cos(1)/3514368 - 37145*sin(1)^7*cos(1)/524288 - 37145*sin(1)^9*cos(1)/589824 - 15295*sin(1)^17*cos(1)/329472 - 805*sin(1)^19*cos(1)/18304 - 575*sin(1)^21*cos(1)/13728 - 25*sin(1)^23*cos(1)/624 - sin(1)^25*cos(1)/26
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.