Integrate (sinx)^5 (cosx)^3 by u-substitution

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How to integrate a product of powers of sin and cos where one of the powers is odd
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Why is it that if you let u=cosx your answer looks completely different but is still correct?

sophiesalazar
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How do we decide which trigonometric function could be substituted as u? Any easier way to understand it?

Especially for integrals involving one of these
Sinx, cosx or tanx, secx or cotx, cscx

myvids
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Thank you! I'm a bit confused when to use the integrating(√) product formula √vdu = uv-√udv. I'll appreciate your contribution ma'am.

olayinkasobowale
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So if we have sin and cos with odd power in same question we choose the lower power right?
what if the powers are equal we choose whatever we want?

BaHo-cpki
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Hey!
i dont understand how the (1-sin^2(x)) becomes (-sin^7(x))

Max-opvu
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Madam why cos ^2separate...
Sin^5 why doesn't separate... ...why

saranyak
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