Question

show that ∫tanx from 0 to π/4= 1/2In2

Answer 1

i know that ∫tanx = ∫sinx/cosx = -In(cosx)

Answer 2

then from there you get -In cos( π/4)

Answer 3

omg my i accidently pressed back button damn it

Answer 4

ohh that sucks lol

Answer 5

maybe u can tell me where i went wrong in mine?

Answer 6

\[-\ln(\frac{\sqrt{2}}{2})=-\ln(\frac{\sqrt{2}}{\sqrt{4}})=-\ln(\sqrt{\frac{2}{4}})=-\ln(\frac{2}{4})^\frac{1}{2}\]
=\[-\frac{1}{2}\ln(\frac{1}{2})=\frac{-1}{2}(\ln1-\ln2)=\frac{-1}{2}(0-\ln2)=\frac{1}{2}\ln2\]

Answer 7

you remember that cos(pi/4) is sqrt{2}/2 right?

Answer 8

lol for some reason i made Sqrt(2)xsqrt(2) =4 silly mistake lol

Answer 9

lol

Answer 10

i all makes sense now thank you:)

Answer 11

i dont think i ever become your fan let me look

Answer 12

ok im your fan i see you so much lol

Answer 13

lol thank you