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Integral of d{x}:
Integral of 4x
Integral of e^(2*x)
Integral of 1/(x^3)
Integral of 1/y
Sum of series:
4x
Derivative of:
4x
Graphing y =:
4x
Identical expressions
4x
4xdx
Similar expressions
sin(x)/cos^4(x)

Solving integrals/ 4x

Integral of 4x dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 4 x\, dx$$

Integral(4*x, (x, 0, 1))

Detail solution

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: $2 x^{2}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                 
 |                 2
 | 4*x dx = C + 2*x 
 |                  
/

$$\int 4 x\, dx = C + 2 x^{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$2$$

=

$$2$$

Numerical answer [src]

2.0

2.0

The graph

Integral of 4x dx

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