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Identical expressions
one / nine *x^ two
1 divide by 9 multiply by x squared
one divide by nine multiply by x to the power of two
1/9*x2
1/9*x²
1/9*x to the power of 2
1/9x^2
1/9x2
1 divide by 9*x^2
1/9*x^2dx

Solving integrals/ 1/9*x^2

Integral of 1/9*x^2 dx

The solution

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$$\int\limits_{-3}^{0} \frac{x^{2}}{9}\, dx$$

Integral(x^2/9, (x, -3, 0))

Detail solution

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

$\int \frac{x^{2}}{9}\, dx = \frac{\int x^{2}\, dx}{9}$
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: $\frac{x^{3}}{27}$
Add the constant of integration:

$\frac{x^{3}}{27}+ \mathrm{constant}$

The answer is:

$\frac{x^{3}}{27}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /              
 |               
 |  2           3
 | x           x 
 | -- dx = C + --
 | 9           27
 |               
/

$${{x^3}\over{27}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$1$$

=

$$1$$

Упростить

Numerical answer [src]

1.0

1.0

The graph

Integral of 1/9*x^2 dx

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