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Solving integrals/ x²dx/x³+1

You entered:

x²dx/x³+1

What you mean?

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

Integral of x²dx/x³+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |  / 2   1     \   
 |  |x *1*-- + 1| dx
 |  |      3    |   
 |  \     x     /   
 |                  
/                   
0
$$\int\limits_{0}^{1} \left(x^{2} \cdot 1 \cdot \frac{1}{x^{3}} + 1\right)\, dx$$ 
Integral(x^2*1/x^3 + 1, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

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

      But the integral is

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

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                 
 |                                  
 | / 2   1     \                    
 | |x *1*-- + 1| dx = C + x + log(x)
 | |      3    |                    
 | \     x     /                    
 |                                  
/
$$\log x+x$$
Simplify
The answer [src] 
oo
$${\it \%a}$$ 
=
= 
oo
$$\infty$$
Simplify
Numerical answer [src] 
45.0904461339929
45.0904461339929

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

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