Question

Find the area of the region under the curve f(x)=tanx on [0,π/2].

Answer 1

its infinity

Answer 2

\[\int\limits_{0}^{\pi/2}\tan x dx=\ln|secx||_{0}^{\pi/2}=\ln|\infty |-0=\infty\]

Answer 3

im unclear on how you got this answer, can you tell me the steps you took?

Answer 4

i just integrated tanx in the limit 0 to pi/2

Answer 5

so tyhe integration of tan x is ln|secx| ??

Answer 6

yes..don't u know that??

Answer 7

i thought the integral of tan was sec^2

Answer 8

no the derivative is sec^2

Answer 9

oooh, oh ok. and then how did you get this..ln|∞|−0=∞ ???

Answer 10

yes...

Answer 11

how did you get... ln|∞|−0=∞ ???