Mister Exam

Other calculators

sinx*e^x
Solving integrals/ sinx*e^x

Integral of sinx*e^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |          x   
 |  sin(x)*E  dx
 |              
/               
0
$$\int\limits_{0}^{1} e^{x} \sin{\left(x \right)}\, dx$$ 
Integral(sin(x)*E^x, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                        
 |                     x                  x
 |         x          e *sin(x)   cos(x)*e 
 | sin(x)*E  dx = C + --------- - ---------
 |                        2           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
Plot the graph f(x)
The answer [src] 
1   E*sin(1)   E*cos(1)
- + -------- - --------
2      2          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
$$- \frac{e \cos{\left(1 \right)}}{2} + \frac{1}{2} + \frac{e \sin{\left(1 \right)}}{2}$$ 
1/2 + E*sin(1)/2 - E*cos(1)/2
Numerical answer [src] 
0.909330673631479
0.909330673631479
The graph
Integral of sinx*e^x dx

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

    © Mister Exam – Calculator