int inverse (1 Viewer)

[ibrian]

int tan(inverse)x dx

fitzpatrick 26d question 36 (i think)

cheers

 

[untouchablecuz]

whats d[x(tan^-1x)-0.5In(1+x^2)]/dx

 

[Michaelmoo]

Im not entirely sure if this will work but:

=int tan(inverse)x

=- int -sin(inverse)x/cos(inverse)x
= -ln[cos(inverse)x] + C

hmm. I don't know if these trig laws apply to inverse. We've only just started =\

 

[gurmies]

If you sketch the situation, it will add clarity to my solution.

 

[lolokay]

was it a definite integral? you need integration by parts to do this (4 unit), but if it's definite, then you can draw a graph and calculate the integral indirectly (method may come up in 3 unit?)

 

[ibrian]

ahhh gotcha. yea it was a definate integral. cheers