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

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

If the area above

x

-axis, bounded by the curves

y = {2^{kx}}

and

x = 0

and

x = 2

\frac{3}{{\log 2}},

then the value of

k

View answer and explanation

Correct option: B

Option B (1) is correct because substituting k = 1 into the area equation derived from the integral satisfies the given condition.

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