Question

integration of limit 2 to 3
3^x dx​

Answer 1

(18+ln3)+c

explain.

let u=3^x

taking log in both side

ln u = x ln 3

then u = e^ xln3

therefore

integration of 3^xdx of limited 2 to 3 = integration of e^ xln3 dx limit 2 to 3 .

e^ xln3/ ln3 = (3)^x/ln3 and put the limit.