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Integral of d{x}:
Integral of e^(-3x)
Integral of 1÷(1+x^2)
Integral of log(x)^2/x
Integral of e^(2*x)/(e^x+1)
Canonical form:
5x^2
Graphing y =:
5x^2
Derivative of:
5x^2
Identical expressions
5x^ two
5x squared
5x to the power of two
5x2
5x²
5x to the power of 2
5x^2dx
Similar expressions
1/sin(5x)^2
dx/(5*x^2-6)
c+15x^2-6x
sin(5x)^2×cos(5x)^2

Solving integrals/ 5x^2

Integral of 5x^2 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 5 x^{2}\, dx$$

Integral(5*x^2, (x, 0, 1))

Detail solution

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

$\int 5 x^{2}\, dx = 5 \int x^{2}\, dx$
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: $\frac{5 x^{3}}{3}$
Add the constant of integration:

$\frac{5 x^{3}}{3}+ \mathrm{constant}$

The answer is:

$\frac{5 x^{3}}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                  3
 |    2          5*x 
 | 5*x  dx = C + ----
 |                3  
/

$$\int 5 x^{2}\, dx = C + \frac{5 x^{3}}{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

5/3

$$\frac{5}{3}$$

=

5/3

$$\frac{5}{3}$$

5/3

Numerical answer [src]

1.66666666666667

1.66666666666667

The graph

Integral of 5x^2 dx

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