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How to use it?
Integral of d{x}:
Integral of sinx
Integral of cosx^2
Integral of sinh(x)
Integral of xcos(nx)
Identical expressions
f(x^ three)
f(x cubed )
f(x to the power of three)
f(x3)
fx3
f(x³)
f(x to the power of 3)
fx^3
f(x^3)dx

Solving integrals/ f(x^3)

Integral of f(x^3) dx

The solution

You have entered [src]

$$\int\limits_{1}^{2} f x^{3}\, dx$$

Integral(f*x^3, (x, 1, 2))

Detail solution

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

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

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

The answer is:

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

The answer (Indefinite) [src]

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

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

Simplify

The answer [src]

15*f
----
 4

$$\frac{15 f}{4}$$

=

15*f
----
 4

$$\frac{15 f}{4}$$

15*f/4

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