What is the integral of (sin(x))/(sqrt(4-cos(x))) ?

The integral of (sin(x))/(sqrt(4-cos(x))) is 2sqrt(4-cos(x))+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (sin(x))/(sqrt(4-cos(x)))

\int \frac{sin ( x )}{4 - cos ( x )} d x

2 4 - cos (x) + C

Solution steps

\int \frac{sin ( x )}{4 - 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 = 4 - cos (x)

= 2 (4 - cos (x))^{\frac{1}{2}}

Apply radical rule:

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

= 2 4 - cos (x)

Add a constant to the solution

= 2 4 - cos (x) + C

\frac{\partial}{\partial x} (\frac{z ^{2} + 2 x + y}{x y})

x \to 3 + lim (e^{\frac{2}{3 - x}})

\int x \cdot cos (n x) d x

\int 4 x - 4 x^{2} d x

1 + \frac{9}{25} y^{4}

What is the integral of (sin(x))/(sqrt(4-cos(x))) ?
The integral of (sin(x))/(sqrt(4-cos(x))) is 2sqrt(4-cos(x))+C