Is there any way to get the integrated equation in R?

Question

The integrate() function returns the integrated value, but what if the user wants to take the integrated equation for an interval?

For example, the normal case of integrate() is like below:

integrate(f = function(x){2 * x}, lower = 1, upper = 2)

>3 with absolute error < 3.3e-14

But I want to write something like this:

integrate(f = function(x){2 * x}, lower = t, upper = t + 1)

to get

2 * t + 1

Thanks

Answer 1

The Ryacas package does symbolic computation:

install.packages("Ryacas")
library(Ryacas)
help(pac=Ryacas)

yacas("Integrate(x,t,t+1)2*x")
# expression((t + 1)^2 - t^2)

Simplify("%")  # apply simplification to last result
# expression(2 * t + 1)