Mister Exam

Other calculators

  • How to use it?

  • Integral of d{x}:
  • Integral of -4*x*exp(-2*x) Integral of -4*x*exp(-2*x)
  • Integral of √(1+x²) Integral of √(1+x²)
  • Integral of 1/cos^2(x) Integral of 1/cos^2(x)
  • Integral of a Integral of a
  • Identical expressions

  • three ^(ctg two x)/((sin2x)^2)
  • 3 to the power of (ctg2x) divide by (( sinus of 2x) squared )
  • three to the power of (ctg two x) divide by (( sinus of 2x) squared )
  • 3(ctg2x)/((sin2x)2)
  • 3ctg2x/sin2x2
  • 3^(ctg2x)/((sin2x)²)
  • 3 to the power of (ctg2x)/((sin2x) to the power of 2)
  • 3^ctg2x/sin2x^2
  • 3^(ctg2x) divide by ((sin2x)^2)
  • 3^(ctg2x)/((sin2x)^2)dx

Integral of 3^(ctg2x)/((sin2x)^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1             
  /             
 |              
 |   cot(2*x)   
 |  3           
 |  --------- dx
 |     2        
 |  sin (2*x)   
 |              
/               
0               
$$\int\limits_{0}^{1} \frac{3^{\cot{\left(2 x \right)}}}{\sin^{2}{\left(2 x \right)}}\, dx$$
Integral(3^cot(2*x)/(sin(2*x)^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                     /            
 |                     |             
 |  cot(2*x)           |  cot(2*x)   
 | 3                   | 3           
 | --------- dx = C +  | --------- dx
 |    2                |    2        
 | sin (2*x)           | sin (2*x)   
 |                     |             
/                     /              
$$-{{3^{{{1}\over{\tan \left(2\,x\right)}}}}\over{2\,\log 3}}$$
The answer [src]
  1             
  /             
 |              
 |   cot(2*x)   
 |  3           
 |  --------- dx
 |     2        
 |  sin (2*x)   
 |              
/               
0               
$${\it \%a}$$
=
=
  1             
  /             
 |              
 |   cot(2*x)   
 |  3           
 |  --------- dx
 |     2        
 |  sin (2*x)   
 |              
/               
0               
$$\int\limits_{0}^{1} \frac{3^{\cot{\left(2 x \right)}}}{\sin^{2}{\left(2 x \right)}}\, dx$$
Numerical answer [src]
3.43261889213809e+37
3.43261889213809e+37

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