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Similar expressions
sinx/√(3-2cosx)

Integral of sinx/√(3+2cosx) dx

The solution

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  0                    
  /                    
 |                     
 |       sin(x)        
 |  ---------------- dx
 |    ______________   
 |  \/ 3 + 2*cos(x)    
 |                     
/                      
0

$$\int\limits_{0}^{0} \frac{\sin{\left(x \right)}}{\sqrt{2 \cos{\left(x \right)} + 3}}\, dx$$

Integral(sin(x)/sqrt(3 + 2*cos(x)), (x, 0, 0))

Detail solution

Let $u = \sqrt{2 \cos{\left(x \right)} + 3}$ .

Then let $du = - \frac{\sin{\left(x \right)} dx}{\sqrt{2 \cos{\left(x \right)} + 3}}$ and substitute $- du$ :

$\int \left(-1\right)\, du$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\text{False}$
  1. The integral of a constant is the constant times the variable of integration:
    
    $\int 1\, du = u$
  So, the result is: $- u$
Now substitute $u$ back in:

$- \sqrt{2 \cos{\left(x \right)} + 3}$
Add the constant of integration:

$- \sqrt{2 \cos{\left(x \right)} + 3}+ \mathrm{constant}$

The answer is:

$- \sqrt{2 \cos{\left(x \right)} + 3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                          
 |                                           
 |      sin(x)                 ______________
 | ---------------- dx = C - \/ 3 + 2*cos(x) 
 |   ______________                          
 | \/ 3 + 2*cos(x)                           
 |                                           
/

$$\int \frac{\sin{\left(x \right)}}{\sqrt{2 \cos{\left(x \right)} + 3}}\, dx = C - \sqrt{2 \cos{\left(x \right)} + 3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$0$$

Numerical answer [src]

0.0

0.0

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

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Identical expressions

Similar expressions

Integral of sinx/√(3+2cosx) dx

Limits of integration:

The graph:

Piecewise:

The solution