Mister Exam

Other calculators

Solving integrals/ sqrt(x)/(x+100)

Integral of sqrt(x)/(x+100) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     ___    
 |   \/ x     
 |  ------- dx
 |  x + 100   
 |            
/             
0
$$\int\limits_{0}^{1} \frac{\sqrt{x}}{x + 100}\, dx$$ 
Integral(sqrt(x)/(x + 100), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                         
 |                                          
 |    ___                  /  ___\          
 |  \/ x                   |\/ x |       ___
 | ------- dx = C - 20*atan|-----| + 2*\/ x 
 | x + 100                 \  10 /          
 |                                          
/
$$\int \frac{\sqrt{x}}{x + 100}\, dx = C + 2 \sqrt{x} - 20 \operatorname{atan}{\left(\frac{\sqrt{x}}{10} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2 - 20*atan(1/10)
$$2 - 20 \operatorname{atan}{\left(\frac{1}{10} \right)}$$ 
=
= 
2 - 20*atan(1/10)
$$2 - 20 \operatorname{atan}{\left(\frac{1}{10} \right)}$$ 
2 - 20*atan(1/10)
Numerical answer [src] 
0.00662695017675945
0.00662695017675945

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

    © Mister Exam – Calculator