Mister Exam

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How to use it?
Integral of d{x}:
Integral of sin(x)*dx/x
Integral of 1/sqrt(x^2+1)
Integral of x^3*ln(x)
Integral of x*ln(x+1)dx
Graphing y =:
3*x^3
Derivative of:
3*x^3
Limit of the function:
3*x^3
Identical expressions
three *x^ three
3 multiply by x cubed
three multiply by x to the power of three
3*x3
3*x³
3*x to the power of 3
3x^3
3x3
3*x^3dx
Similar expressions
(x^4*(dx))/(sqrt(1+3x^3))
1/3x^3-3x^2+5x+10
x^2cos(3x^3+5)
1/(sqrt(3)(x^3-1))
3x^3+3x

Solving integrals/ 3*x^3

Integral of 3*x^3 dx

The solution

You have entered [src]

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

Integral(3*x^3, (x, 0, 1))

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  
/

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

3/4

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

=

3/4

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

3/4

Numerical answer [src]

0.75

0.75

The graph

Integral of 3*x^3 dx

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