Evaluate the definite integral of the transcendental function.

Question

the integral from 0 to 5 of (2^x +8)dx.
I got 40+ 31/log(2)but that's wrong.

Answer 1

∫2^x + 8 dx = 1/ln2 2^x + 8x
so, using the limits, we have

(2^5/ln2 + 40) - (2^0/ln2 + 0)
= 32/ln2 + 40 - 1/ln2
= 31/ln2 + 40

you are correct.