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kirza4 [7]
1 year ago
15

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

Mathematics
1 answer:
Crank1 year ago
6 0

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{\ln|\ln(2x+1)| + C}

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