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Integral of d{x}:
Integral of e^(2x)
Integral of cos^2x
Integral of 8x
Integral of sin(sqrt(x))
Derivative of:
8x
Canonical form:
8x
Graphing y =:
8x
Identical expressions
8x
8xdx
Similar expressions
24*x*y+18*x^3*y^2

Solving integrals/ 8x

Integral of 8x dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 8 x\, dx$$

Integral(8*x, (x, 0, 1))

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int 8 x\, dx = 8 \int x\, dx$
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: $4 x^{2}$
Add the constant of integration:

$4 x^{2}+ \mathrm{constant}$

The answer is:

$4 x^{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                 
 |                 2
 | 8*x dx = C + 4*x 
 |                  
/

$$\int 8 x\, dx = C + 4 x^{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$4$$

=

$$4$$

Numerical answer [src]

4.0

4.0

The graph

Integral of 8x dx

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