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1/x+x^2-3
Solving integrals/ 1/x+x^2-3

You entered:

1/x+x^2-3

What you mean?

1/(x + x^2 - 1*3)
 
1/(x + x^2) - 1*3
 
1*2/(x + x) - 1*3
 
1/(x + x)^2 - 1*3
 
1/x + x^2 - 1*3
 
1/x + x^2 - 1*3

Integral of 1/x+x^2-3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  4                  
  /                  
 |                   
 |  /  1    2    \   
 |  |1*- + x  - 3| dx
 |  \  x         /   
 |                   
/                    
1
$$\int\limits_{1}^{4} \left(x^{2} - 3 + 1 \cdot \frac{1}{x}\right)\, dx$$ 
Integral(1/x + x^2 - 1*3, (x, 1, 4))
Detail solution

  1. Integrate term-by-term:

    1. The integral of is when :

    1. The integral of a constant is the constant times the variable of integration:

    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          
 | |1*- + x  - 3| dx = C - 3*x + -- + log(x)
 | \  x         /                3          
 |                                          
/
$$\log x+{{x^3}\over{3}}-3\,x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
12 + log(4)
$${{3\,\log 4+28}\over{3}}+{{8}\over{3}}$$ 
=
= 
12 + log(4)
$$\log{\left(4 \right)} + 12$$
Simplify
Numerical answer [src] 
13.3862943611199
13.3862943611199
The graph
Integral of 1/x+x^2-3 dx

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

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