Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of x/(1-x^2)^1/2
Integral of x^2*e^(4*x)
Integral of x*(-2)/(1+x^2)
Integral of x^2√(1-x^2)
Graphing y =:
x^2-4x+3
Canonical form:
x^2-4x+3
Derivative of:
x^2-4x+3
Identical expressions
x^ two -4x+ three
x squared minus 4x plus 3
x to the power of two minus 4x plus three
x2-4x+3
x²-4x+3
x to the power of 2-4x+3
x^2-4x+3dx
Similar expressions
dx/x^2-4*x+3
x^2+4x+3
x^2-4x-3
dx/(x^2-4*x+3)

Solving integrals/ x^2-4x+3

Integral of x^2-4x+3 dx

The solution

You have entered [src]

  1                  
  /                  
 |                   
 |  / 2          \   
 |  \x  - 4*x + 3/ dx
 |                   
/                    
0

$$\int\limits_{0}^{1} \left(x^{2} - 4 x + 3\right)\, dx$$

Integral(x^2 - 4*x + 3, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{2}\, dx = \frac{x^{3}}{3}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- 4 x\right)\, dx = - \int 4 x\, dx$
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int 4 x\, dx = 4 \int x\, dx$
    1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
      
      $\int x\, dx = \frac{x^{2}}{2}$
    So, the result is: $2 x^{2}$
  So, the result is: $- 2 x^{2}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 3\, dx = 3 x$
The result is: $\frac{x^{3}}{3} - 2 x^{2} + 3 x$
Now simplify:

$\frac{x \left(x^{2} - 6 x + 9\right)}{3}$
Add the constant of integration:

$\frac{x \left(x^{2} - 6 x + 9\right)}{3}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x^{2} - 6 x + 9\right)}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                       
 |                                       3
 | / 2          \             2         x 
 | \x  - 4*x + 3/ dx = C - 2*x  + 3*x + --
 |                                      3 
/

$${{x^3}\over{3}}-2\,x^2+3\,x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

4/3

$${{4}\over{3}}$$

4/3

$$\frac{4}{3}$$

Упростить

Numerical answer [src]

1.33333333333333

1.33333333333333

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 x^2-4x+3 dx

Limits of integration:

The graph:

Piecewise:

The solution