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  • Identical expressions

  • (one + zero . twenty-five *(cos(zero .5x+ fourteen . eight))^ two)^ one / two
  • (1 plus 0.25 multiply by ( co sinus of e of (0.5x plus 14.8)) squared ) to the power of 1 divide by 2
  • (one plus zero . twenty minus five multiply by ( co sinus of e of (zero .5x plus fourteen . eight)) to the power of two) to the power of one divide by two
  • (1+0.25*(cos(0.5x+14.8))2)1/2
  • 1+0.25*cos0.5x+14.821/2
  • (1+0.25*(cos(0.5x+14.8))²)^1/2
  • (1+0.25*(cos(0.5x+14.8)) to the power of 2) to the power of 1/2
  • (1+0.25(cos(0.5x+14.8))^2)^1/2
  • (1+0.25(cos(0.5x+14.8))2)1/2
  • 1+0.25cos0.5x+14.821/2
  • 1+0.25cos0.5x+14.8^2^1/2
  • (1+0.25*(cos(0.5x+14.8))^2)^1 divide by 2
  • (1+0.25*(cos(0.5x+14.8))^2)^1/2dx

  • Similar expressions

  • (1+0.25*(cos(0.5x-14.8))^2)^1/2
  • (1-0.25*(cos(0.5x+14.8))^2)^1/2
Solving integrals/ (1+0.25*(cos(0.5x+14.8))^2)^1/2

Integral of (1+0.25*(cos(0.5x+14.8))^2)^1/2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 45/4                           
   /                            
  |                             
  |        __________________   
  |       /        2/x   74\    
  |      /      cos |- + --|    
  |     /           \2   5 /    
  |    /    1 + ------------  dx
  |  \/              4          
  |                             
 /                              
-7/4
$$\int\limits_{- \frac{7}{4}}^{\frac{45}{4}} \sqrt{\frac{\cos^{2}{\left(\frac{x}{2} + \frac{74}{5} \right)}}{4} + 1}\, dx$$ 
Integral(sqrt(1 + cos(x/2 + 74/5)^2/4), (x, -7/4, 45/4))
The answer [src] 
 45/4                         
   /                          
  |                           
  |      __________________   
  |     /        2/74   x\    
  |    /  4 + cos |-- + -|  dx
  |  \/           \5    2/    
  |                           
 /                            
-7/4                          
------------------------------
              2
$$\frac{\int\limits_{- \frac{7}{4}}^{\frac{45}{4}} \sqrt{\cos^{2}{\left(\frac{x}{2} + \frac{74}{5} \right)} + 4}\, dx}{2}$$ 
=
= 
 45/4                         
   /                          
  |                           
  |      __________________   
  |     /        2/74   x\    
  |    /  4 + cos |-- + -|  dx
  |  \/           \5    2/    
  |                           
 /                            
-7/4                          
------------------------------
              2
$$\frac{\int\limits_{- \frac{7}{4}}^{\frac{45}{4}} \sqrt{\cos^{2}{\left(\frac{x}{2} + \frac{74}{5} \right)} + 4}\, dx}{2}$$ 
Integral(sqrt(4 + cos(74/5 + x/2)^2), (x, -7/4, 45/4))/2
Numerical answer [src] 
13.7527512805079
13.7527512805079

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