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3^x*e^x
Solving integrals/ 3^x*e^x

You entered:

3^x*e^x

What you mean?

3^x*e^x
 
3^((x*e)^x)
 
3^((x*e)^x)

Integral of 3^x*e^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |   x  x   
 |  3 *e  dx
 |          
/           
0
$$\int\limits_{0}^{1} 3^{x} e^{x}\, dx$$ 
Integral(3^x*E^x, (x, 0, 1))
The answer (Indefinite) [src] 
  /                         
 |                   x  x   
 |  x  x            3 *e    
 | 3 *e  dx = C + ----------
 |                1 + log(3)
/
$${{3^{\left({{1}\over{\log 3}}+1\right)\,x}}\over{\left({{1}\over{ \log 3}}+1\right)\,\log 3}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
                                   1       
                             1 + ------    
                                 log(3)    
           1                3              
- ------------------- + -------------------
  /      1   \          /      1   \       
  |1 + ------|*log(3)   |1 + ------|*log(3)
  \    log(3)/          \    log(3)/
$${{3^{{{1}\over{\log 3}}+1}}\over{\log 3+1}}-{{1}\over{\log 3+1}}$$ 
=
= 
                                   1       
                             1 + ------    
                                 log(3)    
           1                3              
- ------------------- + -------------------
  /      1   \          /      1   \       
  |1 + ------|*log(3)   |1 + ------|*log(3)
  \    log(3)/          \    log(3)/
$$- \frac{1}{\left(\frac{1}{\log{\left(3 \right)}} + 1\right) \log{\left(3 \right)}} + \frac{3^{\frac{1}{\log{\left(3 \right)}} + 1}}{\left(\frac{1}{\log{\left(3 \right)}} + 1\right) \log{\left(3 \right)}}$$
Simplify
Numerical answer [src] 
3.40932220973412
3.40932220973412
The graph
Integral of 3^x*e^x dx

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

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