Integration help no clue Watch

WiseLeo
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#1
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How would you start this Qs?

Integral of (cot^6)(cosec^4)

*EDIT FIGURED IT OUT
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ghostwalker
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(Original post by Econowizard)
How would you start this Qs?

Integral of (cot^6)(cosec^4)
A substitution would work well.

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let u = cot x
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yusyus
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(Original post by ghostwalker)
A substitution would work well.

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let u = cot x

how can you figure out what substitutions are best to put in? is it just by looking at them?
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ghostwalker
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(Original post by bruh2132)
how can you figure out what substitutions are best to put in? is it just by looking at them?
Familiarity and experience, mainly.

In this particular case, look at the various parts of the integrand, ignoring powers if necessary, and consider how they might relate, what identities do you know that they are involved in, what's the derivative of each part,.... Those are the clues.
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yusyus
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(Original post by ghostwalker)
Familiarity and experience, mainly.

In this particular case, look at the various parts of the integrand, ignoring powers if necessary, and consider how they might relate, what identities do you know that they are involved in, what's the derivative of each part,.... Those are the clues.
thanks, I always find myself struggling with those I guess I'll just do more questions and it should come to me, Thanks again!
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