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  • Identical expressions

  • one /sin^2x*cos^6x
  • 1 divide by sinus of squared x multiply by co sinus of e of to the power of 6x
  • one divide by sinus of squared x multiply by co sinus of e of to the power of 6x
  • 1/sin2x*cos6x
  • 1/sin²x*cos⁶x
  • 1/sin to the power of 2x*cos to the power of 6x
  • 1/sin^2xcos^6x
  • 1/sin2xcos6x
  • 1 divide by sin^2x*cos^6x
  • 1/sin^2x*cos^6xdx
Solving integrals/ 1/sin^2x*cos^6x

Integral of 1/sin^2x*cos^6x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     6      
 |  cos (x)   
 |  ------- dx
 |     2      
 |  sin (x)   
 |            
/             
0
$$\int\limits_{0}^{1} \frac{\cos^{6}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\, dx$$ 
Integral(cos(x)^6/sin(x)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                     
 |                                                                      
 |    6                       5                              3          
 | cos (x)          15*x   cos (x)   15*cos(x)*sin(x)   5*cos (x)*sin(x)
 | ------- dx = C - ---- - ------- - ---------------- - ----------------
 |    2              8      sin(x)          8                  4        
 | sin (x)                                                              
 |                                                                      
/
$$\int \frac{\cos^{6}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\, dx = C - \frac{15 x}{8} - \frac{5 \sin{\left(x \right)} \cos^{3}{\left(x \right)}}{4} - \frac{15 \sin{\left(x \right)} \cos{\left(x \right)}}{8} - \frac{\cos^{5}{\left(x \right)}}{\sin{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo
Numerical answer [src] 
1.3793236779486e+19
1.3793236779486e+19

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

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