Mister Exam

Other calculators

y^(-2)
Solving integrals/ y^(-2)

Integral of y^(-2) dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |  1    
 |  -- dy
 |   2   
 |  y    
 |       
/        
0
∫011y2 dy\int\limits_{0}^{1} \frac{1}{y^{2}}\, dy 
Integral(y^(-2), (y, 0, 1))
Detail solution

  1. The integral of yny^{n} is yn+1n+1\frac{y^{n + 1}}{n + 1} when n≠−1n \neq -1:

    ∫1y2 dy=−1y\int \frac{1}{y^{2}}\, dy = - \frac{1}{y}

  2. Add the constant of integration:

    −1y+constant- \frac{1}{y}+ \mathrm{constant}

The answer is:

−1y+constant- \frac{1}{y}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /             
 |              
 | 1           1
 | -- dy = C - -
 |  2          y
 | y            
 |              
/
∫1y2 dy=C−1y\int \frac{1}{y^{2}}\, dy = C - \frac{1}{y}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-5000000050000000
Plot the graph f(x)
The answer [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo
Numerical answer [src] 
1.3793236779486e+19
1.3793236779486e+19
The graph
Integral of y^(-2) dy

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

    © Mister Exam – Calculator