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Popular >

simplify 1/2 ln(pi/4)+c

Solution

simplify

\frac{1}{2} ln (\frac{π}{4}) + c

Solution

\frac{1}{2} ln (π) - ln (2) + c

Solution steps

\frac{1}{2} ln (\frac{π}{4}) + c

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{π}{4}) = ln (π) - ln (4)

= \frac{1}{2} (ln (π) - ln (4)) + c

ln (4) = 2 ln (2)

= \frac{1}{2} (ln (π) - 2 ln (2)) + c

Expand

\frac{1}{2} (ln (π) - 2 ln (2)) : \frac{1}{2} ln (π) - ln (2)

= \frac{1}{2} ln (π) - ln (2) + c

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Frequently Asked Questions (FAQ)

What is 1/2 ln(pi/4)+c ?
The solution to 1/2 ln(pi/4)+c is 1/2 ln(pi)-ln(2)+c