Sr Examen
Integral de (1/sin^25x)dx dx
Solución
Ha introducido
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1 / | | 1 | -------- dx | 25 | sin (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\sin^{25}{\left(x \right)}}\, dx$$
Integral(1/(sin(x)^25), (x, 0, 1))
Respuesta (Indefinida)
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/ | 13 9 17 5 21 23 3 19 7 15 11 | 1 676039*log(1 + cos(x)) 676039*log(-1 + cos(x)) - 221803567050*cos (x) - 197767334710*cos (x) - 67013911107*cos (x) - 46038446685*cos (x) - 3904125225*cos (x) - 1741541175*cos(x) + 334639305*cos (x) + 12013258455*cos (x) + 20814564771*cos (x) + 114444262845*cos (x) + 144986993866*cos (x) + 245588699190*cos (x) | -------- dx = C - ---------------------- + ----------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | 25 8388608 8388608 10 14 6 18 2 22 24 4 20 8 16 12 | sin (x) 2076180480 - 1644334940160*cos (x) - 1644334940160*cos (x) - 456759705600*cos (x) - 456759705600*cos (x) - 24914165760*cos (x) - 24914165760*cos (x) + 2076180480*cos (x) + 137027911680*cos (x) + 137027911680*cos (x) + 1027709337600*cos (x) + 1027709337600*cos (x) + 1918390763520*cos (x) | /
$$\int \frac{1}{\sin^{25}{\left(x \right)}}\, dx = C + \frac{334639305 \cos^{23}{\left(x \right)} - 3904125225 \cos^{21}{\left(x \right)} + 20814564771 \cos^{19}{\left(x \right)} - 67013911107 \cos^{17}{\left(x \right)} + 144986993866 \cos^{15}{\left(x \right)} - 221803567050 \cos^{13}{\left(x \right)} + 245588699190 \cos^{11}{\left(x \right)} - 197767334710 \cos^{9}{\left(x \right)} + 114444262845 \cos^{7}{\left(x \right)} - 46038446685 \cos^{5}{\left(x \right)} + 12013258455 \cos^{3}{\left(x \right)} - 1741541175 \cos{\left(x \right)}}{2076180480 \cos^{24}{\left(x \right)} - 24914165760 \cos^{22}{\left(x \right)} + 137027911680 \cos^{20}{\left(x \right)} - 456759705600 \cos^{18}{\left(x \right)} + 1027709337600 \cos^{16}{\left(x \right)} - 1644334940160 \cos^{14}{\left(x \right)} + 1918390763520 \cos^{12}{\left(x \right)} - 1644334940160 \cos^{10}{\left(x \right)} + 1027709337600 \cos^{8}{\left(x \right)} - 456759705600 \cos^{6}{\left(x \right)} + 137027911680 \cos^{4}{\left(x \right)} - 24914165760 \cos^{2}{\left(x \right)} + 2076180480} + \frac{676039 \log{\left(\cos{\left(x \right)} - 1 \right)}}{8388608} - \frac{676039 \log{\left(\cos{\left(x \right)} + 1 \right)}}{8388608}$$
Gráfica
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.