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  • Identical expressions

  • ((sin(ten *x)/(sin(x))^ six)/pi)
  • (( sinus of (10 multiply by x) divide by ( sinus of (x)) to the power of 6) divide by Pi )
  • (( sinus of (ten multiply by x) divide by ( sinus of (x)) to the power of six) divide by Pi )
  • ((sin(10*x)/(sin(x))6)/pi)
  • sin10*x/sinx6/pi
  • ((sin(10*x)/(sin(x))⁶)/pi)
  • ((sin(10x)/(sin(x))^6)/pi)
  • ((sin(10x)/(sin(x))6)/pi)
  • sin10x/sinx6/pi
  • sin10x/sinx^6/pi
  • ((sin(10*x) divide by (sin(x))^6) divide by pi)
  • ((sin(10*x)/(sin(x))^6)/pi)dx

  • Similar expressions

  • ((sin(10*x)/(sinx)^6)/pi)
Solving integrals/ ((sin(10*x)/(sin(x))^6)/pi)

Integral of ((sin(10*x)/(sin(x))^6)/pi) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi               
  /               
 |                
 |  /sin(10*x)\   
 |  |---------|   
 |  |    6    |   
 |  \ sin (x) /   
 |  ----------- dx
 |       pi       
 |                
/                 
0
$$\int\limits_{0}^{\pi} \frac{\frac{1}{\sin^{6}{\left(x \right)}} \sin{\left(10 x \right)}}{\pi}\, dx$$ 
Integral((sin(10*x)/sin(x)^6)/pi, (x, 0, pi))
The answer (Indefinite) [src] 
  /                                                                                      
 |                                                                                       
 | /sin(10*x)\             80            4             2                            5    
 | |---------|          ------- + 128*sin (x) + 512*cos (x) + 672*log(sin(x)) - ---------
 | |    6    |             2                                                         4   
 | \ sin (x) /          sin (x)                                                 2*sin (x)
 | ----------- dx = C + -----------------------------------------------------------------
 |      pi                                              pi                               
 |                                                                                       
/
$$\int \frac{\frac{1}{\sin^{6}{\left(x \right)}} \sin{\left(10 x \right)}}{\pi}\, dx = C + \frac{672 \log{\left(\sin{\left(x \right)} \right)} + 128 \sin^{4}{\left(x \right)} + 512 \cos^{2}{\left(x \right)} + \frac{80}{\sin^{2}{\left(x \right)}} - \frac{5}{2 \sin^{4}{\left(x \right)}}}{\pi}$$
Simplify
Numerical answer [src] 
2.37305674011773e+74
2.37305674011773e+74

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

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