What is the integral of (sin(x))/(sqrt(1-cos(x))) ?

The integral of (sin(x))/(sqrt(1-cos(x))) is 2sqrt(1-cos(x))+C

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integral of (sin(x))/(sqrt(1-cos(x)))

\int \frac{sin ( x )}{1 - cos ( x )} d x

2 1 - cos (x) + C

Solution steps

\int \frac{sin ( x )}{1 - cos ( x )} d x

Apply u-substitution

: \int \frac{1}{u} d u

= \int \frac{1}{u} d u

Apply the Power Rule

: 2 u^{\frac{1}{2}}

= 2 u^{\frac{1}{2}}

Substitute back

u = 1 - cos (x)

= 2 (1 - cos (x))^{\frac{1}{2}}

Apply radical rule:

a^{\frac{1}{n}} = n a

= 2 1 - cos (x)

Add a constant to the solution

= 2 1 - cos (x) + C

n = 1 \sum \infty \frac{5 n}{12 n + 5}

\int_{1}^{4} 4 e^{x} d x

\frac{4}{3} π (3 + x)^{3}

\frac{\partial}{\partial u} (\frac{( v - u )}{2})

x d y = (x sin (x) - y) d x

What is the integral of (sin(x))/(sqrt(1-cos(x))) ?
The integral of (sin(x))/(sqrt(1-cos(x))) is 2sqrt(1-cos(x))+C