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Derivative of:
x^4+5
Identical expressions
x^ four + five
x to the power of 4 plus 5
x to the power of four plus five
x4+5
x⁴+5
x^4+5dx
Similar expressions
x^4-5

Solving integrals/ x^4+5

Integral of x^4+5 dx

The solution

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  1            
  /            
 |             
 |  / 4    \   
 |  \x  + 5/ dx
 |             
/              
0

$$\int\limits_{0}^{1} \left(x^{4} + 5\right)\, dx$$

Integral(x^4 + 5, (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 a constant is the constant times the variable of integration:
  
  $\int 5\, dx = 5 x$
The result is: $\frac{x^{5}}{5} + 5 x$
Now simplify:

$\frac{x \left(x^{4} + 25\right)}{5}$
Add the constant of integration:

$\frac{x \left(x^{4} + 25\right)}{5}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x^{4} + 25\right)}{5}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

26/5

$$\frac{26}{5}$$

26/5

$$\frac{26}{5}$$

26/5

Numerical answer [src]

5.2

5.2

The graph

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

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Identical expressions

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Integral of x^4+5 dx

Limits of integration:

The graph:

Piecewise:

The solution