Evaluate the following integrals. Include absolute values only when needed. int 3^{-2x}dx

coexpennan 2021-02-22 Answered
Evaluate the following integrals. Include absolute values only when needed.
32xdx
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Expert Answer

Bentley Leach
Answered 2021-02-23 Author has 109 answers
We have to solve the integral I=32xdx
I=32xdx
let 2x=t
2dx=dt
dx=dt2
I=123tdt
I=12(3tln|3|)+C
I=12(32xln3)+C
I=12(ln3.32x)+C
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