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Solving integrals/ -(e^x)*sin(y)

Integral of -(e^x)*sin(y) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src] 
  x              
  /              
 |               
 |    x          
 |  -E *sin(y) dx
 |               
/                
0
$$\int\limits_{0}^{x} - e^{x} \sin{\left(y \right)}\, dx$$ 
Integral((-E^x)*sin(y), (x, 0, x))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of the exponential function is itself.

      So, the result is:

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                             
 |                              
 |   x                  x       
 | -E *sin(y) dx = C - e *sin(y)
 |                              
/
$$\int - e^{x} \sin{\left(y \right)}\, dx = C - e^{x} \sin{\left(y \right)}$$
Simplify
The answer [src] 
   x                
- e *sin(y) + sin(y)
$$- e^{x} \sin{\left(y \right)} + \sin{\left(y \right)}$$ 
=
= 
   x                
- e *sin(y) + sin(y)
$$- e^{x} \sin{\left(y \right)} + \sin{\left(y \right)}$$ 
-exp(x)*sin(y) + sin(y)

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

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