Mister Exam

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How to use it?
Integral of d{x}:
Integral of x^4/(x^2+1)
Integral of x^2*a^x
Integral of x^2/(x^2-4)
Integral of sen
Derivative of:
8*x
8*x
Limit of the function:
8*x
Identical expressions
eight *x
8 multiply by x
eight multiply by x
8x
8*xdx
Similar expressions
sin9xcos8xdx
(8x-3x-2x+5)dx
sinh8x
cos^6x-cos^8x
sin^(8)x

Solving integrals/ 8*x

Integral of 8*x dx

The solution

You have entered [src]

$$\int\limits_{9}^{29} 8 x\, dx$$

Integral(8*x, (x, 9, 29))

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]

$$3040$$

=

$$3040$$

Numerical answer [src]

3040.0

3040.0

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