anonymous
  • anonymous
how to int. sin^2(x)cos^4(x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\int\limits_{}^{} \sin ^{2}xcos ^{4} x\]
anonymous
  • anonymous
|dw:1333150201785:dw|
anonymous
  • anonymous
can you see from there?

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anonymous
  • anonymous
Because of |dw:1333150287769:dw|
anonymous
  • anonymous
yes but how does it help to find the integral?
amistre64
  • amistre64
since cos^n is a tabled integral its got a patterned type of solution to it i believe
amistre64
  • amistre64
\[\int cos^n =\frac{1}{n+1}cos^{n-1}sin+\frac{n}{n+1}\int cos^{n-2}\] or something similar to that since thats from memory and prone to errors
amistre64
  • amistre64
yeah, the reduction formula is the only way i can see it at the moment
amistre64
  • amistre64
forgot i had a book right here; with the tqbles in the back cover :)
amistre64
  • amistre64
\[\int cos^n =\frac{1}{n}cos^{n-1}sin+\frac{n-1}{n}\int cos^{n-2}\] thats better
anonymous
  • anonymous
it might also be possible to break it down using compound angle formulae

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