Mister Exam

Integral of 3*x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1       
  /       
 |        
 |  3*x dx
 |        
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$$\int\limits_{0}^{1} 3 x\, dx$$
Integral(3*x, (x, 0, 1))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                2
 |              3*x 
 | 3*x dx = C + ----
 |               2  
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$$\int 3 x\, dx = C + \frac{3 x^{2}}{2}$$
The graph
The answer [src]
3/2
$$\frac{3}{2}$$
=
=
3/2
$$\frac{3}{2}$$
3/2
Numerical answer [src]
1.5
1.5
The graph
Integral of 3*x dx

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