Question

I need help please!
Ap calculus

Answer 1

Answer: 15 sq. units

Explanation:

Given

`f(x)=\ln (2)2^x`

The area bound by it from x=0 to x=4

Using integration

`I=\int_(0)^(4)f(x)dx`

`I=\int_(0)^(4)\ln(2)2^xdx`

`I=\left [ (\ln (2)2^x)/(\ln (2)) \right ]_0^4`

`I=\left [ 2^x \right ]_0^4`

`I=2^4-2^0\\I=16-1=15\ sq.units`