Question

How do you use the second fundamental theorem of Calculus to find the derivative of given `int 3/t^2 dt` from `[1,x]`?

Answer 1

`d/dx int_1^x 3/t^2 dt = 3/x^2`

Explanation:

you want `d/dx int_1^x 3/t^2 dt`

the second fundie theorem states that
`d/dx int_a^x f(t) dt = f(x)`

so here simply by pattern matching we get

`d/dx int_1^x 3/t^2 dt = 3/x^2`