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