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Solving integrals/ sqrt(-1+4sin^2x)

Integral of sqrt(-1+4sin^2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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 |  \/  -1 + 4*sin (x)  dx
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0
$$\int\limits_{0}^{1} \sqrt{4 \sin^{2}{\left(x \right)} - 1}\, dx$$ 
Integral(sqrt(-1 + 4*sin(x)^2), (x, 0, 1))
The answer (Indefinite) [src] 
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 | \/  -1 + 4*sin (x)  dx = C + I*E(x|4)
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$$\int \sqrt{4 \sin^{2}{\left(x \right)} - 1}\, dx = C + i E\left(x\middle| 4\right)$$
Simplify
The answer [src] 
I*E(1|4)
$$i E\left(1\middle| 4\right)$$ 
=
= 
I*E(1|4)
$$i E\left(1\middle| 4\right)$$ 
i*elliptic_e(1, 4)
Numerical answer [src] 
(0.426983310537096 + 0.405909223748935j)
(0.426983310537096 + 0.405909223748935j)

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

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