Mister Exam

Other calculators

8/sin^2x
Solving integrals/ 8/sin^2x

Integral of 8/sin^2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi           
 --           
 2            
  /           
 |            
 |     8      
 |  ------- dx
 |     2      
 |  sin (x)   
 |            
/             
pi            
--            
6
$$\int\limits_{\frac{\pi}{6}}^{\frac{\pi}{2}} \frac{8}{\sin^{2}{\left(x \right)}}\, dx$$ 
Integral(8/sin(x)^2, (x, pi/6, pi/2))
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. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                         
 |                          
 |    8             8*cos(x)
 | ------- dx = C - --------
 |    2              sin(x) 
 | sin (x)                  
 |                          
/
$$\int \frac{8}{\sin^{2}{\left(x \right)}}\, dx = C - \frac{8 \cos{\left(x \right)}}{\sin{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
    ___
8*\/ 3
$$8 \sqrt{3}$$ 
=
= 
    ___
8*\/ 3
$$8 \sqrt{3}$$ 
8*sqrt(3)
Numerical answer [src] 
13.856406460551
13.856406460551
The graph
Integral of 8/sin^2x dx

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

    © Mister Exam – Calculator