Mister Exam

Other calculators

2x^7dx
Solving integrals/ 2x^7dx

Integral of 2x^7dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |     7     
 |  2*x *1 dx
 |           
/            
0
∫012x7⋅1 dx\int\limits_{0}^{1} 2 x^{7} \cdot 1\, dx 
Integral(2*x^7*1, (x, 0, 1))
Detail solution

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

    ∫2x7⋅1 dx=2∫x7 dx\int 2 x^{7} \cdot 1\, dx = 2 \int x^{7}\, dx

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫x7 dx=x88\int x^{7}\, dx = \frac{x^{8}}{8}

    So, the result is: x84\frac{x^{8}}{4}

  2. Add the constant of integration:

    x84+constant\frac{x^{8}}{4}+ \mathrm{constant}

The answer is:

x84+constant\frac{x^{8}}{4}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
 |                  8
 |    7            x 
 | 2*x *1 dx = C + --
 |                 4 
/
x84{{x^8}\over{4}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
1/4
14{{1}\over{4}} 
=
= 
1/4
14\frac{1}{4}
Упростить
Numerical answer [src] 
0.25
0.25
The graph
Integral of 2x^7dx dx

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

    © Mister Exam – Calculator