What is expand 2pi(pi/8 ln(2)-3/4) ?

The solution to expand 2pi(pi/8 ln(2)-3/4) is (pi^2)/4 ln(2)-(3pi)/2

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expand 2pi(pi/8 ln(2)-3/4)

expand

2 π (\frac{π}{8} ln (2) - \frac{3}{4})

\frac{π ^{2}}{4} ln (2) - \frac{3 π}{2}

Decimal

- 3.00211 \dots

Solution steps

2 π (\frac{π}{8} ln (2) - \frac{3}{4})

Apply the distributive law:

a (b - c) = ab - a c

a = 2 π, b = \frac{π}{8} ln (2), c = \frac{3}{4}

= 2 π \frac{π}{8} ln (2) - 2 π \frac{3}{4}

Simplify

2 π \frac{π}{8} ln (2) - 2 π \frac{3}{4} : \frac{π ^{2}}{4} ln (2) - \frac{3 π}{2}

= \frac{π ^{2}}{4} ln (2) - \frac{3 π}{2}

e x p an d \frac{1}{( 2 n + 1 ) ^{2}}

e x p an d \frac{1}{( x ^{2} - x + 1 ) ( x ^{2} + x + 1 )}

e x p an d 2^{b (x - c)^{2}}

e x p an d (y - 1) (ln (y - 2) + 4)

e x p an d lo g_{3} (3 \frac{x ^{8} y ^{2}}{9})

What is expand 2pi(pi/8 ln(2)-3/4) ?
The solution to expand 2pi(pi/8 ln(2)-3/4) is (pi^2)/4 ln(2)-(3pi)/2