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e^x*cos2x
Solving integrals/ e^x*cos2x

Integral of e^x*cos2x 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(2*x) dx
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0
∫01excos⁡(2x) dx\int\limits_{0}^{1} e^{x} \cos{\left(2 x \right)}\, dx 
Integral(E^x*cos(2*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                
 |                                x      x         
 |  x                   cos(2*x)*e    2*e *sin(2*x)
 | E *cos(2*x) dx = C + ----------- + -------------
 |                           5              5      
/
∫excos⁡(2x) dx=C+2exsin⁡(2x)5+excos⁡(2x)5\int e^{x} \cos{\left(2 x \right)}\, dx = C + \frac{2 e^{x} \sin{\left(2 x \right)}}{5} + \frac{e^{x} \cos{\left(2 x \right)}}{5}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.902.5-2.5
Plot the graph f(x)
The answer [src] 
  1   E*cos(2)   2*E*sin(2)
- - + -------- + ----------
  5      5           5
ecos⁡(2)5−15+2esin⁡(2)5\frac{e \cos{\left(2 \right)}}{5} - \frac{1}{5} + \frac{2 e \sin{\left(2 \right)}}{5} 
=
= 
  1   E*cos(2)   2*E*sin(2)
- - + -------- + ----------
  5      5           5
ecos⁡(2)5−15+2esin⁡(2)5\frac{e \cos{\left(2 \right)}}{5} - \frac{1}{5} + \frac{2 e \sin{\left(2 \right)}}{5} 
-1/5 + E*cos(2)/5 + 2*E*sin(2)/5
Numerical answer [src] 
0.562449792050565
0.562449792050565
The graph
Integral of e^x*cos2x dx

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

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