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Integral of d{x}:
Integral of 3x^3
Integral of cos^3x/sin^4x
Integral of cos²xsinx
Integral of 5cosx
Derivative of:
3x^3
Identical expressions
three x^3
3x cubed
three x cubed
3x3
3x³
3x to the power of 3
3x^3dx
Similar expressions
1/(sqrt(1-9x^2)*arcsin(3x)^3)

Solving integrals/ 3x^3

Integral of 3x^3 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 3 x^{3}\, dx$$

Simplify

Detail solution

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

$\int 3 x^{3}\, dx = 3 \int x^{3}\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{3}\, dx = \frac{x^{4}}{4}$
So, the result is: $\frac{3 x^{4}}{4}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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

$${{3\,x^4}\over{4}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

3/4

$${{3}\over{4}}$$

=

3/4

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

Simplify

Numerical answer [src]

0.75

0.75

The graph

Integral of 3x^3 dx

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