Mister Exam

Other calculators

tan^-1*3x
Solving integrals/ tan^-1*3x

Integral of tan^-1*3x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |    x      
 |  ------ dx
 |  tan(3)   
 |           
/            
0
$$\int\limits_{0}^{1} \frac{x}{\tan{\left(3 \right)}}\, dx$$ 
Integral(x/tan(3), (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   
 |   x                x    
 | ------ dx = C + --------
 | tan(3)          2*tan(3)
 |                         
/
$$\int \frac{x}{\tan{\left(3 \right)}}\, dx = C + \frac{x^{2}}{2 \tan{\left(3 \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
   1    
--------
2*tan(3)
$$\frac{1}{2 \tan{\left(3 \right)}}$$ 
=
= 
   1    
--------
2*tan(3)
$$\frac{1}{2 \tan{\left(3 \right)}}$$ 
1/(2*tan(3))
Numerical answer [src] 
-3.50762627571727
-3.50762627571727
The graph
Integral of tan^-1*3x dx

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

    © Mister Exam – Calculator