Question

If `intxf(x)dx = (f(x))/2` then f(x) = e^x.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

If `intxf(x)dx = int xe^x dx`

= `x int e^xdx - int1e^xdx`

= xe^x – e^x

= e^x(x – 1)