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1 year ago

√(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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Step-by-step explanation:

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