These will be the bounds of our integral.
$$4x(1-x) = \frac{3}{4}$$
Simplify this to get a quadratic equation:
$$4x - 4x^2 = \frac{3}{4}$$
Multiply both sides by 4 to get rid of the fraction:
$$16x - 16x^2 = 3$$
Rearrange the equation to get it in standard
Show more…