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Integral of d{x}:
Integral of dx/tan5x
Integral of (3-sin(x))/(2cos(x)+3tan(x))
Integral of 1/(x^4+4x^2+4)
Integral of 1/(sqrt(x))
Derivative of:
(x^2)/36
Identical expressions
(x^ two)/ thirty-six
(x squared ) divide by 36
(x to the power of two) divide by thirty minus six
(x2)/36
x2/36
(x²)/36
(x to the power of 2)/36
x^2/36
(x^2) divide by 36
(x^2)/36dx

Solving integrals/ (x^2)/36

Integral of (x^2)/36 dx

The solution

You have entered [src]

$$\int\limits_{4}^{6} \frac{x^{2}}{36}\, dx$$

Integral(x^2/36, (x, 4, 6))

Detail solution

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

$\int \frac{x^{2}}{36}\, dx = \frac{\int x^{2}\, dx}{36}$
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: $\frac{x^{3}}{108}$
Add the constant of integration:

$\frac{x^{3}}{108}+ \mathrm{constant}$

The answer is:

$\frac{x^{3}}{108}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /               
 |                
 |  2            3
 | x            x 
 | -- dx = C + ---
 | 36          108
 |                
/

$$\int \frac{x^{2}}{36}\, dx = C + \frac{x^{3}}{108}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

38
--
27

$$\frac{38}{27}$$

=

38
--
27

$$\frac{38}{27}$$

38/27

Numerical answer [src]

1.40740740740741

1.40740740740741

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