Mister Exam

Other calculators

Integral of cotx×cos^2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 pi                  
 --                  
 2                   
  /                  
 |                   
 |            2      
 |  cot(x)*cos (x) dx
 |                   
/                    
0                    
$$\int\limits_{0}^{\frac{\pi}{2}} \cos^{2}{\left(x \right)} \cot{\left(x \right)}\, dx$$
Integral(cot(x)*cos(x)^2, (x, 0, pi/2))
The answer (Indefinite) [src]
  /                                             
 |                            2                 
 |           2             sin (x)              
 | cot(x)*cos (x) dx = C - ------- + log(sin(x))
 |                            2                 
/                                               
$$\int \cos^{2}{\left(x \right)} \cot{\left(x \right)}\, dx = C + \log{\left(\sin{\left(x \right)} \right)} - \frac{\sin^{2}{\left(x \right)}}{2}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
oo
Numerical answer [src]
43.1388555484324
43.1388555484324

    Use the examples entering the upper and lower limits of integration.