Mister Exam

Other calculators

y^4
Solving integrals/ y^4

Integral of y^4 dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   4   
 |  y  dy
 |       
/        
0
∫01y4 dy\int\limits_{0}^{1} y^{4}\, dy 
Integral(y^4, (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:

    ∫y4 dy=y55\int y^{4}\, dy = \frac{y^{5}}{5}

  2. Add the constant of integration:

    y55+constant\frac{y^{5}}{5}+ \mathrm{constant}

The answer is:

y55+constant\frac{y^{5}}{5}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /              
 |              5
 |  4          y 
 | y  dy = C + --
 |             5 
/
∫y4 dy=C+y55\int y^{4}\, dy = C + \frac{y^{5}}{5}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
1/5
15\frac{1}{5} 
=
= 
1/5
15\frac{1}{5} 
1/5
Numerical answer [src] 
0.2
0.2
The graph
Integral of y^4 dy

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

    © Mister Exam – Calculator