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e^x(cosx)
Solving integrals/ e^x(cosx)

Integral of e^x(cosx) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |   x          
 |  E *cos(x) dx
 |              
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0
∫01excos⁡(x) dx\int\limits_{0}^{1} e^{x} \cos{\left(x \right)}\, dx 
Integral(E^x*cos(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                        
 |                            x    x       
 |  x                 cos(x)*e    e *sin(x)
 | E *cos(x) dx = C + --------- + ---------
 |                        2           2    
/
∫excos⁡(x) dx=C+exsin⁡(x)2+excos⁡(x)2\int e^{x} \cos{\left(x \right)}\, dx = C + \frac{e^{x} \sin{\left(x \right)}}{2} + \frac{e^{x} \cos{\left(x \right)}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
  1   E*cos(1)   E*sin(1)
- - + -------- + --------
  2      2          2
−12+ecos⁡(1)2+esin⁡(1)2- \frac{1}{2} + \frac{e \cos{\left(1 \right)}}{2} + \frac{e \sin{\left(1 \right)}}{2} 
=
= 
  1   E*cos(1)   E*sin(1)
- - + -------- + --------
  2      2          2
−12+ecos⁡(1)2+esin⁡(1)2- \frac{1}{2} + \frac{e \cos{\left(1 \right)}}{2} + \frac{e \sin{\left(1 \right)}}{2} 
-1/2 + E*cos(1)/2 + E*sin(1)/2
Numerical answer [src] 
1.37802461354736
1.37802461354736
The graph
Integral of e^x(cosx) dx

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

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