Mister Exam

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How to use it?
Integral of d{x}:
Integral of 1/sqrt(x^2+1)
Integral of x^3*ln(x)
Integral of x(x^2+3)
Integral of x^2*lnx
Derivative of:
8x^2
Graphing y =:
8x^2
8x^2
Identical expressions
8x^ two
8x squared
8x to the power of two
8x2
8x²
8x to the power of 2
8x^2dx
Similar expressions
(8*x^2+4/x^2)*dx
8*x^2+16*x+17*cos4x
(8*x^2+16*x+17)cos(4x)

Solving integrals/ 8x^2

Integral of 8x^2 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 8 x^{2}\, dx$$

Integral(8*x^2, (x, 0, 1))

Detail solution

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

$\int 8 x^{2}\, dx = 8 \int x^{2}\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{2}\, dx = \frac{x^{3}}{3}$
So, the result is: $\frac{8 x^{3}}{3}$
Add the constant of integration:

$\frac{8 x^{3}}{3}+ \mathrm{constant}$

The answer is:

$\frac{8 x^{3}}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                  3
 |    2          8*x 
 | 8*x  dx = C + ----
 |                3  
/

$$\int 8 x^{2}\, dx = C + \frac{8 x^{3}}{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

8/3

$$\frac{8}{3}$$

=

8/3

$$\frac{8}{3}$$

8/3

Numerical answer [src]

2.66666666666667

2.66666666666667

The graph

Integral of 8x^2 dx

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