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e^xsinx
Solving integrals/ e^xsinx

Integral of e^xsinx dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |   x          
 |  E *sin(x) dx
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0
∫01exsin⁡(x) dx\int\limits_{0}^{1} e^{x} \sin{\left(x \right)}\, dx 
Integral(E^x*sin(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                        
 |                     x                  x
 |  x                 e *sin(x)   cos(x)*e 
 | E *sin(x) dx = C + --------- - ---------
 |                        2           2    
/
∫exsin⁡(x) dx=C+exsin⁡(x)2−excos⁡(x)2\int e^{x} \sin{\left(x \right)}\, dx = C + \frac{e^{x} \sin{\left(x \right)}}{2} - \frac{e^{x} \cos{\left(x \right)}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.905-5
Plot the graph f(x)
The answer [src] 
1   E*sin(1)   E*cos(1)
- + -------- - --------
2      2          2
−ecos⁡(1)2+12+esin⁡(1)2- \frac{e \cos{\left(1 \right)}}{2} + \frac{1}{2} + \frac{e \sin{\left(1 \right)}}{2} 
=
= 
1   E*sin(1)   E*cos(1)
- + -------- - --------
2      2          2
−ecos⁡(1)2+12+esin⁡(1)2- \frac{e \cos{\left(1 \right)}}{2} + \frac{1}{2} + \frac{e \sin{\left(1 \right)}}{2} 
1/2 + E*sin(1)/2 - E*cos(1)/2
Numerical answer [src] 
0.909330673631479
0.909330673631479
The graph
Integral of e^xsinx dx

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

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