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(sqrt(2x+3)dx)/(2x+4)
Solving integrals/ (sqrt(2x+3)dx)/(2x+4)

Integral of (sqrt(2x+3)dx)/(2x+4) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                         
  /                         
 |                          
 |    _________      1      
 |  \/ 2*x + 3 *1*------- dx
 |                2*x + 4   
 |                          
/                           
0
$$\int\limits_{0}^{1} \sqrt{2 x + 3} \cdot 1 \cdot \frac{1}{2 x + 4}\, dx$$ 
Integral(sqrt(2*x + 3)*1/(2*x + 4), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                              
 |                                                               
 |   _________      1               _________       /  _________\
 | \/ 2*x + 3 *1*------- dx = C + \/ 3 + 2*x  - atan\\/ 3 + 2*x /
 |               2*x + 4                                         
 |                                                               
/
$$\sqrt{2\,x+3}-\arctan \sqrt{2\,x+3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
                         /  ___\
  ___     ___   pi       |\/ 6 |
\/ 5  - \/ 3  - -- + asin|-----|
                6        \  6  /
$$-\arctan \sqrt{5}+{{\pi-3^{{{3}\over{2}}}}\over{3}}+\sqrt{5}$$ 
=
= 
                         /  ___\
  ___     ___   pi       |\/ 6 |
\/ 5  - \/ 3  - -- + asin|-----|
                6        \  6  /
$$- \sqrt{3} - \frac{\pi}{6} + \operatorname{asin}{\left(\frac{\sqrt{6}}{6} \right)} + \sqrt{5}$$
Simplify
Numerical answer [src] 
0.400952729616579
0.400952729616579
The graph
Integral of (sqrt(2x+3)dx)/(2x+4) dx

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

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