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Solving integrals/ e^x*siny

Integral of e^x*siny dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

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

    1. The integral of sine is negative cosine:

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                            
 |                             
 |  x                         x
 | E *sin(y) dy = C - cos(y)*e 
 |                             
/
$$\int e^{x} \sin{\left(y \right)}\, dy = C - e^{x} \cos{\left(y \right)}$$
Simplify
The answer [src] 
   x
2*e
$$2 e^{x}$$ 
=
= 
   x
2*e
$$2 e^{x}$$ 
2*exp(x)

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

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