Mister Exam

Other calculators

Solving integrals/ e^(3*x)*2*x1

You entered:

e^(3*x)*2*x1

What you mean?

e^((3*x)^2)*x^1

Integral of e^(3*x)*2*x1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |   3*x        
 |  e   *2*x1 dx
 |              
/               
0
$$\int\limits_{0}^{1} e^{3 x} 2 x_{1}\, dx$$ 
Integral(E^(3*x)*2*x1, (x, 0, 1))
Detail solution

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

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                            
 |                          3*x
 |  3*x               2*x1*e   
 | e   *2*x1 dx = C + ---------
 |                        3    
/
$${{2\,e^{3\,x}\,x_{1}}\over{3}}$$
Simplify
The answer [src] 
               3
  2*x1   2*x1*e 
- ---- + -------
   3        3
$$2\,\left({{e^3}\over{3}}-{{1}\over{3}}\right)\,x_{1}$$ 
=
= 
               3
  2*x1   2*x1*e 
- ---- + -------
   3        3
$$- \frac{2 x_{1}}{3} + \frac{2 x_{1} e^{3}}{3}$$
Simplify

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

    © Mister Exam – Calculator