Integration by parts help

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

Reply 1

B_9710

18

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.

(edited 8 years ago)

Reply 2

Super199

OP

20

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

Reply 3

B_9710

18

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.

Reply 4

Zacken

22

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.