Mister Exam

Other calculators

Solving integrals/ cos(x)/e^x

Integral of cos(x)/e^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  0          
  /          
 |           
 |  cos(x)   
 |  ------ dx
 |     x     
 |    E      
 |           
/            
0
$$\int\limits_{0}^{0} \frac{\cos{\left(x \right)}}{e^{x}}\, dx$$ 
Integral(cos(x)/E^x, (x, 0, 0))
The answer (Indefinite) [src] 
  /                                       
 |                  -x                  -x
 | cos(x)          e  *sin(x)   cos(x)*e  
 | ------ dx = C + ---------- - ----------
 |    x                2            2     
 |   E                                    
 |                                        
/
$$\int \frac{\cos{\left(x \right)}}{e^{x}}\, dx = C + \frac{e^{- x} \sin{\left(x \right)}}{2} - \frac{e^{- x} \cos{\left(x \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
0
$$0$$ 
=
= 
0
$$0$$ 
0
Numerical answer [src] 
0.0
0.0

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

    © Mister Exam – Calculator