Mister Exam

Other calculators

2/x^4
Solving integrals/ 2/x^4

Integral of 2/x^4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |  2    
 |  -- dx
 |   4   
 |  x    
 |       
/        
0
∫012x4 dx\int\limits_{0}^{1} \frac{2}{x^{4}}\, dx 
Integral(2/x^4, (x, 0, 1))
Detail solution

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

    ∫2x4 dx=2∫1x4 dx\int \frac{2}{x^{4}}\, dx = 2 \int \frac{1}{x^{4}}\, dx

    1. Don't know the steps in finding this integral.

      But the integral is

      −13x3- \frac{1}{3 x^{3}}

    So, the result is: −23x3- \frac{2}{3 x^{3}}

  2. Add the constant of integration:

    −23x3+constant- \frac{2}{3 x^{3}}+ \mathrm{constant}

The answer is:

−23x3+constant- \frac{2}{3 x^{3}}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
 |                 
 | 2            2  
 | -- dx = C - ----
 |  4             3
 | x           3*x 
 |                 
/
∫2x4 dx=C−23x3\int \frac{2}{x^{4}}\, dx = C - \frac{2}{3 x^{3}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1000000000000000010000000000000000
Plot the graph f(x)
The answer [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo
Numerical answer [src] 
1.56286224489171e+57
1.56286224489171e+57
The graph
Integral of 2/x^4 dx

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

    © Mister Exam – Calculator