Mister Exam

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  • Integral of d{x}:
  • Integral of 3 Integral of 3
  • Integral of x^1 Integral of x^1
  • Integral of sin(x)/cos(x) Integral of sin(x)/cos(x)
  • Integral of e^(x+2) Integral of e^(x+2)
  • Identical expressions

  • e^(ctg(two x)- one)/sin(2x)^2
  • e to the power of (ctg(2x) minus 1) divide by sinus of (2x) squared
  • e to the power of (ctg(two x) minus one) divide by sinus of (2x) squared
  • e(ctg(2x)-1)/sin(2x)2
  • ectg2x-1/sin2x2
  • e^(ctg(2x)-1)/sin(2x)²
  • e to the power of (ctg(2x)-1)/sin(2x) to the power of 2
  • e^ctg2x-1/sin2x^2
  • e^(ctg(2x)-1) divide by sin(2x)^2
  • e^(ctg(2x)-1)/sin(2x)^2dx
  • Similar expressions

  • e^(ctg(2x)+1)/sin(2x)^2

Integral of e^(ctg(2x)-1)/sin(2x)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                 
  /                 
 |                  
 |   cot(2*x) - 1   
 |  E               
 |  ------------- dx
 |       2          
 |    sin (2*x)     
 |                  
/                   
0                   
$$\int\limits_{0}^{1} \frac{e^{\cot{\left(2 x \right)} - 1}}{\sin^{2}{\left(2 x \right)}}\, dx$$
Integral(E^(cot(2*x) - 1)/sin(2*x)^2, (x, 0, 1))
The answer (Indefinite) [src]
  /                       /  /            \    
 |                        | |             |    
 |  cot(2*x) - 1          | |  cot(2*x)   |    
 | E                      | | e           |  -1
 | ------------- dx = C + | | --------- dx|*e  
 |      2                 | |    2        |    
 |   sin (2*x)            | | sin (2*x)   |    
 |                        | |             |    
/                         \/              /    
$$\int \frac{e^{\cot{\left(2 x \right)} - 1}}{\sin^{2}{\left(2 x \right)}}\, dx = C + \frac{\int \frac{e^{\cot{\left(2 x \right)}}}{\sin^{2}{\left(2 x \right)}}\, dx}{e}$$
Numerical answer [src]
1.5016034153403e+2166822720586533684
1.5016034153403e+2166822720586533684

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