Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of dx/(x^2+7)
Integral of dx/sin^2x
Integral of 2-2x
Integral of x*sec^2(x)
Identical expressions
xdx/ one +x^ four
xdx divide by 1 plus x to the power of 4
xdx divide by one plus x to the power of four
xdx/1+x4
xdx/1+x⁴
xdx divide by 1+x^4
Similar expressions
xdx/1-x^4

Solving integrals/ xdx/1+x^4

Integral of xdx/1+x^4 dx

The solution

You have entered [src]

  1            
  /            
 |             
 |  /x    4\   
 |  |- + x | dx
 |  \1     /   
 |             
/              
0

$$\int\limits_{0}^{1} \left(x^{4} + \frac{x}{1}\right)\, dx$$

Integral(x/1 + x^4, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{4}\, dx = \frac{x^{5}}{5}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \frac{x}{1}\, dx = \int x\, dx$
  1. Don't know the steps in finding this integral.
    
    But the integral is
    
    $\frac{x^{2}}{2}$
  So, the result is: $\frac{x^{2}}{2}$
The result is: $\frac{x^{5}}{5} + \frac{x^{2}}{2}$
Add the constant of integration:

$\frac{x^{5}}{5} + \frac{x^{2}}{2}+ \mathrm{constant}$

The answer is:

$\frac{x^{5}}{5} + \frac{x^{2}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                         
 |                    2    5
 | /x    4\          x    x 
 | |- + x | dx = C + -- + --
 | \1     /          2    5 
 |                          
/

$$\int \left(x^{4} + \frac{x}{1}\right)\, dx = C + \frac{x^{5}}{5} + \frac{x^{2}}{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

7/10

$$\frac{7}{10}$$

7/10

$$\frac{7}{10}$$

7/10

Numerical answer [src]

0.7

0.7

The graph

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

Other calculators

How to use it?

Identical expressions

Similar expressions

Integral of xdx/1+x^4 dx

Limits of integration:

The graph:

Piecewise:

The solution