Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

Integral Help Required!!

OpenStudy (anonymous):

OpenStudy (anonymous):

Attachmnt cntains the question!!

OpenStudy (fifciol):

u=sinx+cosx

OpenStudy (anonymous):

I get int of sec2x-tan2x dx.correct??

OpenStudy (anonymous):

I did rationalising!

OpenStudy (anonymous):

not u substitution!!

OpenStudy (fifciol):

du=(cosx-sinx) dx

OpenStudy (anonymous):

Ya but can u tell me the ans u get??

OpenStudy (fifciol):

usinng that substitution we have \[\int\limits_{}^{}\frac{ du }{ u }=lnu +C=\ln(sinx +cosx)+C\]

OpenStudy (anonymous):

no with the values!!Definite values

OpenStudy (fifciol):

it's \[\ln \sqrt2- \ln1=\ln \sqrt2\]

OpenStudy (anonymous):

M gtin the same.but ans given is

OpenStudy (anonymous):

(ln2)/2

OpenStudy (fifciol):

it's the same: \[\ln \sqrt2= \ln 2^{\frac{ 1 }{ 2 }}=\frac{ \ln 2 }{ 2 }\]

OpenStudy (anonymous):

Oh shoot!!

OpenStudy (anonymous):

ln1=logbase10 1,r8??

OpenStudy (anonymous):

ya,I guess ovios

OpenStudy (anonymous):

or is it?

OpenStudy (fifciol):

every log of 1 is zero

OpenStudy (anonymous):

but with base 1??

OpenStudy (anonymous):

it can be 0 or 1??

OpenStudy (anonymous):

M confused with logs!!

OpenStudy (fifciol):

it doesn't exist log with base of 0 ,1 and all negatives values

OpenStudy (anonymous):

So it exist for values>1,right??

OpenStudy (fifciol):

yes and between 0 and 1

OpenStudy (anonymous):

k....gotcha

OpenStudy (anonymous):

Thanks for the help @Fifciol !!

OpenStudy (fifciol):

np yw :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!