Mister Exam

Other calculators

cos^7x*sin(x)
Solving integrals/ cos^7x*sin(x)

Integral of cos^7x*sin(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                  
  /                  
 |                   
 |     7             
 |  cos (x)*sin(x) dx
 |                   
/                    
0
∫01sin⁡(x)cos⁡7(x) dx\int\limits_{0}^{1} \sin{\left(x \right)} \cos^{7}{\left(x \right)}\, dx 
Integral(cos(x)^7*sin(x), (x, 0, 1))
The graph
0.001.000.100.200.300.400.500.600.700.800.900.5-0.5
Plot the graph f(x)
The answer [src] 
       8   
1   cos (1)
- - -------
8      8
18−cos⁡8(1)8\frac{1}{8} - \frac{\cos^{8}{\left(1 \right)}}{8} 
=
= 
       8   
1   cos (1)
- - -------
8      8
18−cos⁡8(1)8\frac{1}{8} - \frac{\cos^{8}{\left(1 \right)}}{8} 
1/8 - cos(1)^8/8
Numerical answer [src] 
0.124092169893971
0.124092169893971
The graph
Integral of cos^7x*sin(x) dx

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

    © Mister Exam – Calculator