Now let so that and the integral becomes
I am having a bit of trouble with these, so if anyone could help me, I would greatly appreciate it.
Thanks in advance
1. Find from first principles the derivative of the function f(x) = tan(2x)
a) Find the area between the graph of y = tan x and the x axis for -1≤ x ≤ 1, giving your answer to two decimal places
b) Using calculus, show that ∫ tan x dx = -ln| cos x| + c, where c is an arbitrary constant
c) Find a number k, such that ∫ tan x dx = 2, for 0≤ x≤ k, giving your answer to two decimal places