Integral of tan(x)/(3+cos^2(x)) dx
The solution
The answer (Indefinite)
[src]
/ /
| |
| tan(x) | tan(x)
| ----------- dx = C + | ----------- dx
| 2 | 2
| 3 + cos (x) | 3 + cos (x)
| |
/ /
6log(sin2x−4)−6log(sin2x−1)
1
/
|
| tan(x)
| ----------- dx
| 2
| 3 + cos (x)
|
/
0
6log(4−sin21)−6log(1−sin21)−6log4
=
1
/
|
| tan(x)
| ----------- dx
| 2
| 3 + cos (x)
|
/
0
0∫1cos2(x)+3tan(x)dx
Use the examples entering the upper and lower limits of integration.