Sr Examen
Integral de sin(7*x)/(5*cos(7*x)+1)^6 dr
Solución
Ha introducido
[src]
1 / | | sin(7*x) | ----------------- dx | 6 | (5*cos(7*x) + 1) | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(7 x \right)}}{\left(5 \cos{\left(7 x \right)} + 1\right)^{6}}\, dx$$
Integral(sin(7*x)/(5*cos(7*x) + 1)^6, (x, 0, 1))
Respuesta (Indefinida)
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/ | | sin(7*x) 1 | ----------------- dx = C + ---------------------------------------------------------------------------------------------- | 6 2 3 4 5 | (5*cos(7*x) + 1) 175 + 4375*cos(7*x) + 43750*cos (7*x) + 218750*cos (7*x) + 546875*cos (7*x) + 546875*cos (7*x) | /
$$\int \frac{\sin{\left(7 x \right)}}{\left(5 \cos{\left(7 x \right)} + 1\right)^{6}}\, dx = C + \frac{1}{546875 \cos^{5}{\left(7 x \right)} + 546875 \cos^{4}{\left(7 x \right)} + 218750 \cos^{3}{\left(7 x \right)} + 43750 \cos^{2}{\left(7 x \right)} + 4375 \cos{\left(7 x \right)} + 175}$$
Gráfica
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.