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Integral of d{x}:
Integral of (1+x)/x
Integral of 3^x*e^x
Integral of 1/√(1-x²)
Integral of e^(x+1)
Factor polynomial:
x^3+x^4
Graphing y =:
x^3+x^4
x^3+x^4
Identical expressions
x^ three +x^ four
x cubed plus x to the power of 4
x to the power of three plus x to the power of four
x3+x4
x³+x⁴
x to the power of 3+x to the power of 4
x^3+x^4dx
Similar expressions
x^3-x^4

Solving integrals/ x^3+x^4

Integral of x^3+x^4 dx

The solution

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  1             
  /             
 |              
 |  / 3    4\   
 |  \x  + x / dx
 |              
/               
0

$$\int\limits_{0}^{1} \left(x^{4} + x^{3}\right)\, dx$$

Integral(x^3 + x^4, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{4}\, dx = \frac{x^{5}}{5}$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{3}\, dx = \frac{x^{4}}{4}$
The result is: $\frac{x^{5}}{5} + \frac{x^{4}}{4}$
Now simplify:

$\frac{x^{4} \cdot \left(4 x + 5\right)}{20}$
Add the constant of integration:

$\frac{x^{4} \cdot \left(4 x + 5\right)}{20}+ \mathrm{constant}$

The answer is:

$\frac{x^{4} \cdot \left(4 x + 5\right)}{20}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                          
 |                     4    5
 | / 3    4\          x    x 
 | \x  + x / dx = C + -- + --
 |                    4    5 
/

$${{x^5}\over{5}}+{{x^4}\over{4}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

9/20

$${{9}\over{20}}$$

9/20

$$\frac{9}{20}$$

Упростить

Numerical answer [src]

0.45

0.45

The graph

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

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Identical expressions

Similar expressions

Integral of x^3+x^4 dx

Limits of integration:

The graph:

Piecewise:

The solution