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Integral of d{x}:
Integral of (x+2)e^x
Integral of √(1+x²)
Integral of 1/tanx
Integral of a
Derivative of:
6*x+2
Graphing y =:
6*x+2
Identical expressions
six *x+ two
6 multiply by x plus 2
six multiply by x plus two
6x+2
6*x+2dx
Similar expressions
3x^2+36x+221
6x+2
6*x-2
(x+1)/(x^2+6x+25)
(6x+2)*e^(2-9x)
(6(x+2)^0.5)/(((x+2)^2)*(x+1)^0.5)

Solving integrals/ 6*x+2

Integral of 6*x+2 dx

The solution

You have entered [src]

  97            
 ---            
 500            
  /             
 |              
 |  (6*x + 2) dx
 |              
/               
0

$$\int\limits_{0}^{\frac{97}{500}} \left(6 x + 2\right)\, dx$$

Integral(6*x + 2, (x, 0, 97/500))

Detail solution

Integrate term-by-term:
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int 6 x\, dx = 6 \int x\, dx$
  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: $3 x^{2}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 2\, dx = 2 x$
The result is: $3 x^{2} + 2 x$
Now simplify:

$x \left(3 x + 2\right)$
Add the constant of integration:

$x \left(3 x + 2\right)+ \mathrm{constant}$

The answer is:

$x \left(3 x + 2\right)+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                             
 |                             2
 | (6*x + 2) dx = C + 2*x + 3*x 
 |                              
/

$$\int \left(6 x + 2\right)\, dx = C + 3 x^{2} + 2 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

125227
------
250000

$$\frac{125227}{250000}$$

=

125227
------
250000

$$\frac{125227}{250000}$$

125227/250000

Numerical answer [src]

0.500908

0.500908

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