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# FP2 Integration watch

1. How do I integrate tan^3(x) by using a suitable identity?
2. (Original post by Mathematicus65)
How do I integrate tan^3(x) by using a suitable identity?
Note that then use a suitable identity for
3. (Original post by atsruser)
Note that then use a suitable identity for
Yeah I did this already to obtain the integral of tanx(sec^2x-1) dx but didn't see how this helped me
4. (Original post by Mathematicus65)
Yeah I did this already to obtain the integral of tanx(sec^2x-1) dx but didn't see how this helped me
Note that

What is the relationship between and ?

Or alternatively, what is the relationship between and ?
5. So you have ∫(tanx(secx)^2-tanx) dx
notice what happens if you differentiate (secx)^2. You should know the integral of tanx. Now just put those 2 pieces of integration to work out the full integral.
You can also think about what happens when you differentiate (tanx)^2 and that may help you work out the integral.

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