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Solving integrals/ 1/x+x^2ln5

Integral of 1/x+x^2ln5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                     
  /                     
 |                      
 |  /  1    2       \   
 |  |1*- + x *log(5)| dx
 |  \  x            /   
 |                      
/                       
0
$$\int\limits_{0}^{1} \left(x^{2} \log{\left(5 \right)} + 1 \cdot \frac{1}{x}\right)\, dx$$ 
Integral(1/x + x^2*log(5), (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of is when :

      So, the result is:

    1. Don't know the steps in finding this integral.

      But the integral is

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                             
 |                             3                
 | /  1    2       \          x *log(5)         
 | |1*- + x *log(5)| dx = C + --------- + log(x)
 | \  x            /              3             
 |                                              
/
$$\log x+{{\log 5\,x^3}\over{3}}$$
Simplify
The answer [src] 
oo
$${\it \%a}$$ 
=
= 
oo
$$\infty$$
Упростить
Numerical answer [src] 
44.6269254381376
44.6269254381376

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

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