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Mathematics 18 Online
OpenStudy (anonymous):

integral. im very confused.

OpenStudy (anonymous):

i leu u as my tan

OpenStudy (anonymous):

\(sec^n\theta=sec^{n-1}\theta *sec\theta\) Got this part??

OpenStudy (anonymous):

yes yes the power rule

OpenStudy (anonymous):

so, the integrand is \(sec^{n-1}\theta *sec\theta tan\theta\) right?

OpenStudy (anonymous):

now let \(u = sec \theta \rightarrow du = sec\theta tan\theta d\theta\) ok then?

OpenStudy (anonymous):

yes yes the derivative of tan =)

OpenStudy (anonymous):

the integral becomes \[\int u^{n-1}du\] It's quite easy now, right?

OpenStudy (anonymous):

yes =)

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

i got 1/n sec ^n theta + c. i think i made a mistake?

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