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Integral of d{x}:
Integral of (x+1)/(2x²+3x-4)
Integral of e^×^2
Integral of e^(2*x)+3
Integral of dx/x^-3
Graphing y =:
1-x^4
Limit of the function:
1-x^4
Canonical form:
1-x^4
Identical expressions
one -x^ four
1 minus x to the power of 4
one minus x to the power of four
1-x4
1-x⁴
1-x^4dx
Similar expressions
1+x^4

Solving integrals/ 1-x^4

Integral of 1-x^4 dx

The solution

You have entered [src]

  x            
  /            
 |             
 |  /     4\   
 |  \1 - x / dx
 |             
/              
1

$$\int\limits_{1}^{x} \left(1 - x^{4}\right)\, dx$$

Integral(1 - x^4, (x, 1, x))

Detail solution

Integrate term-by-term:
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dx = x$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- x^{4}\right)\, dx = - \int x^{4}\, dx$
  1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
    
    $\int x^{4}\, dx = \frac{x^{5}}{5}$
  So, the result is: $- \frac{x^{5}}{5}$
The result is: $- \frac{x^{5}}{5} + x$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                        
 |                        5
 | /     4\              x 
 | \1 - x / dx = C + x - --
 |                       5 
/

$$\int \left(1 - x^{4}\right)\, dx = C - \frac{x^{5}}{5} + x$$

Simplify

The answer [src]

           5
  4       x 
- - + x - --
  5       5

$$- \frac{x^{5}}{5} + x - \frac{4}{5}$$

=

           5
  4       x 
- - + x - --
  5       5

$$- \frac{x^{5}}{5} + x - \frac{4}{5}$$

Упростить

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