Solve =2/3+|frac{2sqrt{2}}{3}-2/3ln|1+3t||_{0}^2sqrt{2}

Factor

\frac{3|\frac{-2\ln(|3t+1|)+2\sqrt{2}}{3}|+2}{3}

Solution Steps

= \frac { 2 } { 3 } + | \frac { 2 \sqrt { 2 } } { 3 } - \frac { 2 } { 3 } \ln | 1 + 3 t | | _ { 0 } ^ { 2 \sqrt { 2 } }

Factor out \frac{1}{3}.

\frac{2+3|\frac{2\sqrt{2}-2\log_{e}\left(|1+3t|\right)}{3}|}{3}

Evaluate

|\frac{-2\ln(|3t+1|)+2\sqrt{2}}{3}|+\frac{2}{3}

Quiz

Algebra

5 problems similar to:

= \frac { 2 } { 3 } + | \frac { 2 \sqrt { 2 } } { 3 } - \frac { 2 } { 3 } \ln | 1 + 3 t | | _ { 0 } ^ { 2 \sqrt { 2 } }

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\frac{2+3|\frac{2\sqrt{2}-2\log_{e}\left(|1+3t|\right)}{3}|}{3}

Factor out \frac{1}{3}.

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