Sr Examen
Integral de tan(4*x)^(4)/cos(4*x)^(2) dx
Solución
Ha introducido
[src]
1 / | | 4 | tan (4*x) | --------- dx | 2 | cos (4*x) | / 0
$$\int\limits_{0}^{1} \frac{\tan^{4}{\left(4 x \right)}}{\cos^{2}{\left(4 x \right)}}\, dx$$
Integral(tan(4*x)^4/cos(4*x)^2, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 4 | tan (4*x) sin(4*x) sin(4*x) sin(4*x) | --------- dx = C - ------------ + ----------- + ------------ | 2 3 20*cos(4*x) 5 | cos (4*x) 10*cos (4*x) 20*cos (4*x) | /
$$\int \frac{\tan^{4}{\left(4 x \right)}}{\cos^{2}{\left(4 x \right)}}\, dx = C + \frac{\sin{\left(4 x \right)}}{20 \cos{\left(4 x \right)}} - \frac{\sin{\left(4 x \right)}}{10 \cos^{3}{\left(4 x \right)}} + \frac{\sin{\left(4 x \right)}}{20 \cos^{5}{\left(4 x \right)}}$$
Gráfica
Respuesta
[src]
1 / | | 4 | tan (4*x) | --------- dx | 2 | cos (4*x) | / 0
$$\int\limits_{0}^{1} \frac{\tan^{4}{\left(4 x \right)}}{\cos^{2}{\left(4 x \right)}}\, dx$$
=
=
1 / | | 4 | tan (4*x) | --------- dx | 2 | cos (4*x) | / 0
$$\int\limits_{0}^{1} \frac{\tan^{4}{\left(4 x \right)}}{\cos^{2}{\left(4 x \right)}}\, dx$$
Integral(tan(4*x)^4/cos(4*x)^2, (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.