If the area above the x-axis, bounded by the curves y = 2kx and x = 0, and x = 2 is then the value of k is

The area can be computed as –






Comparing with



4k = 3k + 1


Using Binomial Theorem,




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


Ans: k = 1

1