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  • Identical expressions

  • sqrt(one +sin(x/ three)^ two *cos(x/ three))
  • square root of (1 plus sinus of (x divide by 3) squared multiply by co sinus of e of (x divide by 3))
  • square root of (one plus sinus of (x divide by three) to the power of two multiply by co sinus of e of (x divide by three))
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  • sqrt(1+sin(x/3) to the power of 2*cos(x/3))
  • sqrt(1+sin(x/3)^2cos(x/3))
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  • sqrt(1+sin(x divide by 3)^2*cos(x divide by 3))
  • sqrt(1+sin(x/3)^2*cos(x/3))dx

  • Similar expressions

  • sqrt(1-sin(x/3)^2*cos(x/3))
Solving integrals/ sqrt(1+sin(x/3)^2*cos(x/3))

Integral of sqrt(1+sin(x/3)^2*cos(x/3)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                            
 --                            
 4                             
  /                            
 |                             
 |      ____________________   
 |     /        2/x\    /x\    
 |    /  1 + sin |-|*cos|-|  dx
 |  \/           \3/    \3/    
 |                             
/                              
0
$$\int\limits_{0}^{\frac{\pi}{4}} \sqrt{\sin^{2}{\left(\frac{x}{3} \right)} \cos{\left(\frac{x}{3} \right)} + 1}\, dx$$ 
Integral(sqrt(1 + sin(x/3)^2*cos(x/3)), (x, 0, pi/4))
Numerical answer [src] 
0.793983879803348
0.793983879803348

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

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