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# Integration by parts help watch

1. Need some help with part b. Apologies about the scruffy workings.

Anyway Im not sure if I am doing it right as I dont get an exact value for tanh^-1(sinx) when I put pi/4 in.

http://m.imgur.com/Zl65LsI,fQhEe4W

Thanks
2. (Original post by Super199)
Need some help with part b. Apologies about the scruffy workings.

Anyway Im not sure if I am doing it right as I dont get an exact value for tanh^-1(sinx) when I put pi/4 in.

http://m.imgur.com/Zl65LsI,fQhEe4W

Thanks
You will have to work it out yourself using the logarithmic definition/form of artanh.
It looks as though it's all correct so far so just go ahead and the compute the integral with the limits.
3. (Original post by B_9710)
You will have to work it out yourself using the logarithmic definition/form of artanh.
It looks as though it's all correct so far so just go ahead and the compute the integral with the limits.
Oh yh i forgot about the log thing. Cheers
4. (Original post by Super199)
Oh yh i forgot about the log thing. Cheers
In many ways dealing with the hyperbolic trig functions is easier than the standard trig functions as they can be defined in terms of real expnonetials and their inverses in terms of logs.
5. (Original post by B_9710)
In many ways dealing with the hyperbolic trig functions is easier than the standard trig functions as they can be defined in terms of real expnonetials and their inverses in terms of logs.
Injectivity is so sexy.
6. (Original post by Zacken)
Injectivity is so sexy.
Can you actually go the **** to bed
7. nice question/stolen
8. (Original post by TeeEm)
nice question/stolen
That's what I thought. It all works out very nicely.
9. (Original post by B_9710)
That's what I thought. It all works out very nicely.
different limits and it does not require log definition of artanh

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