Mister Exam

Other calculators

arccos(3x)/(sqrt(1-9x^2))
Solving integrals/ arccos(3x)/(sqrt(1-9x^2))

You entered:

arccos(3x)/(sqrt(1-9x^2))

What you mean?

acos(3*x)/(sqrt(1 - 9*x^2))
 
acos(3*x)/((sqrt(1 - 9*x)*2))
 
acos(3*x)/((sqrt(1 - 9*x))^2)
 
acos(3*x)/((sqrt(1 - 1*9)*x^2))
 
acos(3*x)/(sqrt(1) - 9*x^2)
 
acos(3*x)*(1 - 9*x^2)/(sqrt(x))
 
acos(3*x)*(1 - 9*x^2)/(sqrt(x))

Integral of arccos(3x)/(sqrt(1-9x^2)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |    acos(3*x)     
 |  ------------- dx
 |     __________   
 |    /        2    
 |  \/  1 - 9*x     
 |                  
/                   
0
$$\int\limits_{0}^{1} \frac{\operatorname{acos}{\left(3 x \right)}}{\sqrt{- 9 x^{2} + 1}}\, dx$$ 
Integral(acos(3*x)/(sqrt(1 - 9*x^2)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                 
 |                            2     
 |   acos(3*x)            acos (3*x)
 | ------------- dx = C - ----------
 |    __________              6     
 |   /        2                     
 | \/  1 - 9*x                      
 |                                  
/
$$-{{\arccos ^2\left(3\,x\right)}\over{6}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
      2        2
  acos (3)   pi 
- -------- + ---
     6        24
$${{\pi^2}\over{24}}-{{\arccos ^23}\over{6}}$$ 
=
= 
      2        2
  acos (3)   pi 
- -------- + ---
     6        24
$$\frac{\pi^{2}}{24} - \frac{\operatorname{acos}^{2}{\left(3 \right)}}{6}$$
Simplify
Numerical answer [src] 
(0.929113116642521 + 0.0j)
(0.929113116642521 + 0.0j)
The graph
Integral of arccos(3x)/(sqrt(1-9x^2)) dx

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

    © Mister Exam – Calculator