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  • Identical expressions

  • (five ^(ctg(two x)))/sin^2(2x)
  • (5 to the power of (ctg(2x))) divide by sinus of squared (2x)
  • (five to the power of (ctg(two x))) divide by sinus of squared (2x)
  • (5(ctg(2x)))/sin2(2x)
  • 5ctg2x/sin22x
  • (5^(ctg(2x)))/sin²(2x)
  • (5 to the power of (ctg(2x)))/sin to the power of 2(2x)
  • 5^ctg2x/sin^22x
  • (5^(ctg(2x))) divide by sin^2(2x)
  • (5^(ctg(2x)))/sin^2(2x)dx
Solving integrals/ (5^(ctg(2x)))/sin^2(2x)

Integral of (5^(ctg(2x)))/sin^2(2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |   cot(2*x)   
 |  5           
 |  --------- dx
 |     2        
 |  sin (2*x)   
 |              
/               
0
$$\int\limits_{0}^{1} \frac{5^{\cot{\left(2 x \right)}}}{\sin^{2}{\left(2 x \right)}}\, dx$$ 
Integral(5^cot(2*x)/sin(2*x)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                     /            
 |                     |             
 |  cot(2*x)           |  cot(2*x)   
 | 5                   | 5           
 | --------- dx = C +  | --------- dx
 |    2                |    2        
 | sin (2*x)           | sin (2*x)   
 |                     |             
/                     /
$$\int \frac{5^{\cot{\left(2 x \right)}}}{\sin^{2}{\left(2 x \right)}}\, dx = C + \int \frac{5^{\cot{\left(2 x \right)}}}{\sin^{2}{\left(2 x \right)}}\, dx$$
Simplify
The answer [src] 
  1             
  /             
 |              
 |   cot(2*x)   
 |  5           
 |  --------- dx
 |     2        
 |  sin (2*x)   
 |              
/               
0
$$\int\limits_{0}^{1} \frac{5^{\cot{\left(2 x \right)}}}{\sin^{2}{\left(2 x \right)}}\, dx$$ 
=
= 
  1             
  /             
 |              
 |   cot(2*x)   
 |  5           
 |  --------- dx
 |     2        
 |  sin (2*x)   
 |              
/               
0
$$\int\limits_{0}^{1} \frac{5^{\cot{\left(2 x \right)}}}{\sin^{2}{\left(2 x \right)}}\, dx$$ 
Integral(5^cot(2*x)/sin(2*x)^2, (x, 0, 1))
Numerical answer [src] 
1.84424253153629e+3487366636035568732
1.84424253153629e+3487366636035568732

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

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