Question

I don't know how to solve this indefinite integral with both limits as variables:

^x^3
ç (z^4+1)dz
⌄ln(x)

If you could explain I'd appreciate it.

Answer 1

just do it as usual.

∫[lnx,x^3] (z^4+1) dz
= 1/5 z^5 + z [lnx,x^3]
= (1/5 x^15 + x^3)-(1/5 ln^5(x) + ln(x))

Not very pretty, but c'est la vie...

Answer 2

thank you steve