Mister Exam

Other calculators

cosx/sin⁴x
Solving integrals/ cosx/sin⁴x

Integral of cosx/sin⁴x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |   cos(x)   
 |  ------- dx
 |     4      
 |  sin (x)   
 |            
/             
0
∫01cos⁡(x)sin⁡4(x) dx\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{\sin^{4}{\left(x \right)}}\, dx 
Integral(cos(x)/sin(x)^4, (x, 0, 1))
The answer (Indefinite) [src] 
  /                          
 |                           
 |  cos(x)              1    
 | ------- dx = C - ---------
 |    4                  3   
 | sin (x)          3*sin (x)
 |                           
/
∫cos⁡(x)sin⁡4(x) dx=C−13sin⁡3(x)\int \frac{\cos{\left(x \right)}}{\sin^{4}{\left(x \right)}}\, dx = C - \frac{1}{3 \sin^{3}{\left(x \right)}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-2000000000000000020000000000000000
Plot the graph f(x)
The answer [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo
Numerical answer [src] 
7.81431122445857e+56
7.81431122445857e+56
The graph
Integral of cosx/sin⁴x dx

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

    © Mister Exam – Calculator