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  • Identical expressions

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  • 2pi*sinx*√(1+(cosx)^2)
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  • 2pi*sinx*sqrt(1+(cosx)^2)dx

  • Similar expressions

  • 2pi*sinx*sqrt(1-(cosx)^2)
Solving integrals/ 2pi*sinx*sqrt(1+(cosx)^2)

Integral of 2pi*sinx*sqrt(1+(cosx)^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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 |  2*pi*sin(x)*\/  1 + cos (x)  dx
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0
$$\int\limits_{0}^{1} 2 \pi \sin{\left(x \right)} \sqrt{\cos^{2}{\left(x \right)} + 1}\, dx$$ 
Integral(((2*pi)*sin(x))*sqrt(1 + cos(x)^2), (x, 0, 1))
The answer [src] 
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2*pi* |  \/  1 + cos (x) *sin(x) dx
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     0
$$2 \pi \int\limits_{0}^{1} \sqrt{\cos^{2}{\left(x \right)} + 1} \sin{\left(x \right)}\, dx$$ 
=
= 
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2*pi* |  \/  1 + cos (x) *sin(x) dx
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     0
$$2 \pi \int\limits_{0}^{1} \sqrt{\cos^{2}{\left(x \right)} + 1} \sin{\left(x \right)}\, dx$$ 
2*pi*Integral(sqrt(1 + cos(x)^2)*sin(x), (x, 0, 1))
Numerical answer [src] 
3.65837776892123
3.65837776892123

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

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