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How to use it?
Integral of d{x}:
Integral of (-1)/x^2
Integral of x⁴
Integral of 2e^x
Integral of e^(x/y)
Derivative of:
4x^2
Canonical form:
4x^2
Graphing y =:
4x^2
Identical expressions
4x^ two
4x squared
4x to the power of two
4x2
4x²
4x to the power of 2
4x^2dx
Similar expressions
(3x^2+8)/(x^3+4x^2+4x)
2*x^4-x^3+3-(4*x^2/x^3-1)
1/(sqrt(1-4x^2)*arcsin(2x)^2)

Solving integrals/ 4x^2

Integral of 4x^2 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 4 x^{2}\, dx$$

Integral(4*x^2, (x, 0, 1))

Detail solution

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

$\int 4 x^{2}\, dx = 4 \int x^{2}\, dx$
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: $\frac{4 x^{3}}{3}$
Add the constant of integration:

$\frac{4 x^{3}}{3}+ \mathrm{constant}$

The answer is:

$\frac{4 x^{3}}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                  3
 |    2          4*x 
 | 4*x  dx = C + ----
 |                3  
/

$$\int 4 x^{2}\, dx = C + \frac{4 x^{3}}{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

4/3

$$\frac{4}{3}$$

=

4/3

$$\frac{4}{3}$$

Упростить

Numerical answer [src]

1.33333333333333

1.33333333333333

The graph

Integral of 4x^2 dx

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