ashokkumar
Mr
integrate (secx)^3
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integration by parts (1 Viewer)
- Thread starter ashokkumar
- Start date
similar and in a way easier than for (csc^3) x.
ashokkumar
Mr
did you just put 2C so that when you divide everything by 2, you'd end up with just C?secx\ dx\\ \\ =\ \ secxtanx\ -\ \int sec^{3}x\ dx\ +\ \int secx\ dx\\ \\ \ \ =\ \ secxtanx\ -\ I\ + ln\left | secx+tanx \right |\ +\ 2C\\ \\ \therefore \ \ I\ \ =\ \ \frac{1}{2}(secxtanx+ln\left | secx+tanx \right |)\ +\ C)
Yes, so as to make it look neat. Since C is an arbitrary constant it would have made no difference were it replaced by, say, 0.070436992D instead, although this would raise eyebrows.
ashokkumar
Mr
alright thanks
Can you be sure that you won't be marked down for bad working out?
My teacher wouldn't have. In the HSC they wouldn't. It depends on who your teacher is.