Mister Exam

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How to use it?
Integral of d{x}:
Integral of x^2/(1+x^3)
Integral of √(1+sinx)
Integral of x/(x+2)
Integral of x/(1-x^2)^1/2
Derivative of:
9*x^2
Graphing y =:
9*x^2
Limit of the function:
9*x^2
Identical expressions
nine *x^ two
9 multiply by x squared
nine multiply by x to the power of two
9*x2
9*x²
9*x to the power of 2
9x^2
9x2
9*x^2dx
Similar expressions
1/(sqrt9x^2-6x+10)
10x^3*9x^2
arcctg^7*3x/(1+9x^2)
1/xsqrt(9x^2+12x+3)

Solving integrals/ 9*x^2

Integral of 9*x^2 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 9 x^{2}\, dx$$

Integral(9*x^2, (x, 0, 1))

Detail solution

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

$\int 9 x^{2}\, dx = 9 \int x^{2}\, dx$
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: $3 x^{3}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                  
 |                   
 |    2             3
 | 9*x  dx = C + 3*x 
 |                   
/

$$\int 9 x^{2}\, dx = C + 3 x^{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$3$$

=

$$3$$

Упростить

Numerical answer [src]

3.0

3.0

The graph

Integral of 9*x^2 dx

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