   Chapter 7.5, Problem 25E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ 0 1 1 + 12 t 1 + 3 t d t

To determine

To find:

011+12t1+3tdt

Explanation

Formula used:dtt=lnt

Calculations: The integral I is simplified to get

I=014-31+3tdt = 4dt  - 31+3tdt If we let 1+3t = u in second integral then 3dt = du. So the integral is of the form du/u and hence the integral is ln u

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