Sr Examen
Integral de tan3(x)sen^2(x)dx dx
Solución
Ha introducido
[src]
1 / | | 3 2 | tan (x)*sin (x) dx | / 0
$$\int\limits_{0}^{1} \sin^{2}{\left(x \right)} \tan^{3}{\left(x \right)}\, dx$$
Integral(tan(x)^3*sin(x)^2, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 3 2 1 1 / 2 \ / 2 \ | tan (x)*sin (x) dx = C + ---------------- + --------- - log\csc (x)/ + log\-1 + csc (x)/ | / 2 \ 2 / 2*\-1 + csc (x)/ 2*csc (x)
$$\int \sin^{2}{\left(x \right)} \tan^{3}{\left(x \right)}\, dx = C + \log{\left(\csc^{2}{\left(x \right)} - 1 \right)} - \log{\left(\csc^{2}{\left(x \right)} \right)} + \frac{1}{2 \csc^{2}{\left(x \right)}} + \frac{1}{2 \left(\csc^{2}{\left(x \right)} - 1\right)}$$
Gráfica
Respuesta
[src]
2
1 cos (1)
--------- + 2*log(cos(1)) - -------
2 2
2*cos (1)
$$2 \log{\left(\cos{\left(1 \right)} \right)} - \frac{\cos^{2}{\left(1 \right)}}{2} + \frac{1}{2 \cos^{2}{\left(1 \right)}}$$
=
=
2
1 cos (1)
--------- + 2*log(cos(1)) - -------
2 2
2*cos (1)
$$2 \log{\left(\cos{\left(1 \right)} \right)} - \frac{\cos^{2}{\left(1 \right)}}{2} + \frac{1}{2 \cos^{2}{\left(1 \right)}}$$
1/(2*cos(1)^2) + 2*log(cos(1)) - cos(1)^2/2
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.