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√(2x+1) Evaluate the integral 2 (2x + 1) In (2x + 1) dx.
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√(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
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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
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