What is expand (pi(2ln(2)+1))/4 ?

The solution to expand (pi(2ln(2)+1))/4 is (piln(2))/2+pi/4

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expand (pi(2ln(2)+1))/4

expand

\frac{π ( 2 ln ( 2 ) + 1 )}{4}

\frac{π ln ( 2 )}{2} + \frac{π}{4}

Decimal Notation

1.87419 \dots

Solution steps

\frac{π ( 2 ln ( 2 ) + 1 )}{4}

Expand

π (2 ln (2) + 1) : 2 π ln (2) + π

= \frac{2 π ln ( 2 ) + π}{4}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{2 π ln ( 2 ) + π}{4} = \frac{2 π ln ( 2 )}{4} + \frac{π}{4}

= \frac{2 π ln ( 2 )}{4} + \frac{π}{4}

Cancel

\frac{2 π ln ( 2 )}{4} : \frac{π ln ( 2 )}{2}

= \frac{π ln ( 2 )}{2} + \frac{π}{4}

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What is expand (pi(2ln(2)+1))/4 ?
The solution to expand (pi(2ln(2)+1))/4 is (piln(2))/2+pi/4