Question

If A_n be the area bounded by the curve y = (tan x)ⁿ and the lines x = 0, y = 0 and x = π/4, then for x > 2

A. A_n + A_n-2 = \(\frac{1}{n-1}\)

B.  A_n + A_n-2 < \(\frac{1}{n-1}\)

C.  A_n - A_n-2 = \(\frac{1}{n-1}\)

D. None of these

Answer 1

Correct answer is A.

Now, let u = tan x

\(\Rightarrow\) du = sec²x dx

When x = 0, u = 0 and when x = π/4, u = 1