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Mathematics
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OpenStudy (anonymous):
Integral Help Required!!
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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!
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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
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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!!
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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??
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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
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OpenStudy (anonymous):
k....gotcha
OpenStudy (anonymous):
Thanks for the help @Fifciol !!
OpenStudy (fifciol):
np yw :)
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