Mister Exam

其他计算器

积分 1/(cos(x)-cos(3x)) dx

积分限:

v

图像:

分段定义:

解答

You have entered [src]
  1                     
  /                     
 |                      
 |          1           
 |  ----------------- dx
 |  cos(x) - cos(3*x)   
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \frac{1}{\cos{\left(x \right)} - \cos{\left(3 x \right)}}\, dx$$
Integral(1/(cos(x) - cos(3*x)), (x, 0, 1))
The answer (Indefinite) [src]
  /                             /                     
 |                             |                      
 |         1                   |         1            
 | ----------------- dx = C -  | ------------------ dx
 | cos(x) - cos(3*x)           | -cos(x) + cos(3*x)   
 |                             |                      
/                             /                       
$$\int \frac{1}{\cos{\left(x \right)} - \cos{\left(3 x \right)}}\, dx = C - \int \frac{1}{- \cos{\left(x \right)} + \cos{\left(3 x \right)}}\, dx$$
The answer [src]
   1                      
   /                      
  |                       
  |          1            
- |  ------------------ dx
  |  -cos(x) + cos(3*x)   
  |                       
 /                        
 0                        
$$- \int\limits_{0}^{1} \frac{1}{- \cos{\left(x \right)} + \cos{\left(3 x \right)}}\, dx$$
=
=
   1                      
   /                      
  |                       
  |          1            
- |  ------------------ dx
  |  -cos(x) + cos(3*x)   
  |                       
 /                        
 0                        
$$- \int\limits_{0}^{1} \frac{1}{- \cos{\left(x \right)} + \cos{\left(3 x \right)}}\, dx$$
-Integral(1/(-cos(x) + cos(3*x)), (x, 0, 1))

    这些示例也可用于输入定积分的上下限.