Question

Find the indefinite integral

integral (3t^2)/(t^2+1) dt

Answer 1

did you try substituting t = tan x
?

Answer 2

I got 3(tan^(-1)(t))+C

Answer 3

but i got 3 (t - tan^(-1)t) + c

can you show your work, so that i couls spot the error ?

Answer 4

numerator = tan^2 x = 1+ sec^2 x
because of that "sec^2 x", i got its integral as tan x, which is just t

Answer 5

sorry,
tan^2x = sec^2 x -1 :P

Answer 6

Another approach you might want to consider:

Note that the numerator and denom. of the given integrand are of the same order (same power of t). DIVIDE the den. into the num. BEFORE attempting to integrate.

Answer 7

ok thanks.S

Answer 8

welcome ^_^