Register
√(2x+1) Evaluate the integral 2 (2x + 1) In (2x + 1) dx.
41.3k views
5 votes
√(2x+1)
Evaluate the integral
2
(2x + 1) In (2x + 1)
dx.

√(2x+1) Evaluate the integral 2 (2x + 1) In (2x + 1) dx.-example-1
User Jimmy Hannon
by
7.8k points

1 Answer

1 vote

Substitute
y=\ln(2x+1) and
dy=\frac2{2x+1}\,dx, so that


\displaystyle \int \frac2{(2x+1) \ln(2x+1)} \, dx = \int \frac{dy}y = \ln|y| + C = \boxed + C

User Crazenezz
by
8.1k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

8.8m questions

11.4m answers

Other Questions

What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!