Question

If the area above the x-axis, bounded by the curves y \(=2^{kx}\) and x = 0, and x = 2 is \(\frac{3}{loge^2},\) then the value of k is

A. 1/2

B. 1

C. –1

D. 2

Answer 1

Correct answer is B.

The area can be computed as –

⇒ 4^k = 3^k + 1

Using Binomial Theorem,

This equality holds only when k = 1, because only then you get two terms in the expansion.