Answered step by step
Verified Expert Solution
Question
1 Approved Answer
1. Integrate by parts S In(2x + 3)dx Let u = In (2x + 3), dv = dx Then du = (2/(2x + 3)) dx
1. Integrate by parts S In(2x + 3)dx Let u = In (2x + 3), dv = dx Then du = (2/(2x + 3)) dx and v = x S In(2x + 3) dx = x In(2x + 3) - S( 2x 2x+3 dx 2x But S dx = S(1 - 3 dx = x - (3/2)In (2x + 3) + C1 2x+3. 2x+3. So f In(2x + 3) dx = x In(2x + 3) - x+ In(2x + 3) + C 2 marks for selecting u and dv 4 marks for completing the second step 4 mark for completing the problem Deduct 2 marks if C is missing
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started