Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of e^3x
Integral of sinx/cos2x
Integral of sqrt(x^2+1)/x^3
Integral of e^(2*x)*sin(3*x)
Identical expressions
four /13x^ five
4 divide by 13x to the power of 5
four divide by 13x to the power of five
4/13x5
4/13x⁵
4 divide by 13x^5
4/13x^5dx

Solving integrals/ 4/13x^5

Integral of 4/13x^5 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} \frac{4 x^{5}}{13}\, dx$$

Integral(4*x^5/13, (x, 0, 1))

Detail solution

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

$\int \frac{4 x^{5}}{13}\, dx = \frac{4 \int x^{5}\, dx}{13}$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{5}\, dx = \frac{x^{6}}{6}$
So, the result is: $\frac{2 x^{6}}{39}$
Add the constant of integration:

$\frac{2 x^{6}}{39}+ \mathrm{constant}$

The answer is:

$\frac{2 x^{6}}{39}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                   
 |    5             6
 | 4*x           2*x 
 | ---- dx = C + ----
 |  13            39 
 |                   
/

$${{2\,x^6}\over{39}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

2/39

$${{2}\over{39}}$$

2/39

$$\frac{2}{39}$$

Simplify

Numerical answer [src]

0.0512820512820513

0.0512820512820513

The graph

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

Other calculators

How to use it?

Identical expressions

Integral of 4/13x^5 dx

Limits of integration:

The graph:

Piecewise:

The solution