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  • Integral of d{x}:
  • Integral of 1/(1+x^2) Integral of 1/(1+x^2)
  • Integral of 4x Integral of 4x
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  • Integral of (cos(x))^2 Integral of (cos(x))^2

  • Identical expressions

  • sin(x)*sqrt(one +cos(x)^ two)
  • sinus of (x) multiply by square root of (1 plus co sinus of e of (x) squared )
  • sinus of (x) multiply by square root of (one plus co sinus of e of (x) to the power of two)
  • sin(x)*√(1+cos(x)^2)
  • sin(x)*sqrt(1+cos(x)2)
  • sinx*sqrt1+cosx2
  • sin(x)*sqrt(1+cos(x)²)
  • sin(x)*sqrt(1+cos(x) to the power of 2)
  • sin(x)sqrt(1+cos(x)^2)
  • sin(x)sqrt(1+cos(x)2)
  • sinxsqrt1+cosx2
  • sinxsqrt1+cosx^2
  • sin(x)*sqrt(1+cos(x)^2)dx

  • Similar expressions

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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                           
  /                           
 |                            
 |            _____________   
 |           /        2       
 |  sin(x)*\/  1 + cos (x)  dx
 |                            
/                             
0
$$\int\limits_{0}^{\pi} \sqrt{\cos^{2}{\left(x \right)} + 1} \sin{\left(x \right)}\, dx$$ 
Integral(sin(x)*sqrt(1 + cos(x)^2), (x, 0, pi))
The answer [src] 
 pi                           
  /                           
 |                            
 |     _____________          
 |    /        2              
 |  \/  1 + cos (x) *sin(x) dx
 |                            
/                             
0
$$\int\limits_{0}^{\pi} \sqrt{\cos^{2}{\left(x \right)} + 1} \sin{\left(x \right)}\, dx$$ 
=
= 
 pi                           
  /                           
 |                            
 |     _____________          
 |    /        2              
 |  \/  1 + cos (x) *sin(x) dx
 |                            
/                             
0
$$\int\limits_{0}^{\pi} \sqrt{\cos^{2}{\left(x \right)} + 1} \sin{\left(x \right)}\, dx$$ 
Integral(sqrt(1 + cos(x)^2)*sin(x), (x, 0, pi))
Numerical answer [src] 
2.29558714939264
2.29558714939264

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

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