Sr Examen
Integral de (tg^2x)/(4+3cos2x) dx
Solución
Ha introducido
[src]
/ ____\
|\/ 26 |
acos|------|
\ 26 /
/
|
| 2
| tan (x)
| -------------- dx
| 4 + 3*cos(2*x)
|
/
/ ____\
|\/ 10 |
acos|------|
\ 10 /
$$\int\limits_{\operatorname{acos}{\left(\frac{\sqrt{10}}{10} \right)}}^{\operatorname{acos}{\left(\frac{\sqrt{26}}{26} \right)}} \frac{\tan^{2}{\left(x \right)}}{3 \cos{\left(2 x \right)} + 4}\, dx$$
Integral(tan(x)^2/(4 + 3*cos(2*x)), (x, acos(sqrt(10)/10), acos(sqrt(26)/26)))
Respuesta (Indefinida)
[src]
/ / | | | 2 | 2 | tan (x) | tan (x) | -------------- dx = C + | -------------- dx | 4 + 3*cos(2*x) | 4 + 3*cos(2*x) | | / /
$$\int \frac{\tan^{2}{\left(x \right)}}{3 \cos{\left(2 x \right)} + 4}\, dx = C + \int \frac{\tan^{2}{\left(x \right)}}{3 \cos{\left(2 x \right)} + 4}\, dx$$
Respuesta
[src]
/ ____\
|\/ 26 |
acos|------|
\ 26 /
/
|
| 2
| tan (x)
| -------------- dx
| 4 + 3*cos(2*x)
|
/
/ ____\
|\/ 10 |
acos|------|
\ 10 /
$$\int\limits_{\operatorname{acos}{\left(\frac{\sqrt{10}}{10} \right)}}^{\operatorname{acos}{\left(\frac{\sqrt{26}}{26} \right)}} \frac{\tan^{2}{\left(x \right)}}{3 \cos{\left(2 x \right)} + 4}\, dx$$
=
=
/ ____\
|\/ 26 |
acos|------|
\ 26 /
/
|
| 2
| tan (x)
| -------------- dx
| 4 + 3*cos(2*x)
|
/
/ ____\
|\/ 10 |
acos|------|
\ 10 /
$$\int\limits_{\operatorname{acos}{\left(\frac{\sqrt{10}}{10} \right)}}^{\operatorname{acos}{\left(\frac{\sqrt{26}}{26} \right)}} \frac{\tan^{2}{\left(x \right)}}{3 \cos{\left(2 x \right)} + 4}\, dx$$
Integral(tan(x)^2/(4 + 3*cos(2*x)), (x, acos(sqrt(10)/10), acos(sqrt(26)/26)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.