QuestionFind the $x$-coordinate of the inflection point of $f(x)=\int_{1}^{x}(3t-6t^{2})dt$. Options: (a) $-\frac{1}{4}$ (b) $\frac{1}{4}$ (c) 0 (d) $\frac{1}{2}$. Evaluate $\int \sin(3x)dx$. Options: (a) $3\cos(3x)+C$ (b) $\frac{1}{3}\cos(3x)+C$ (c) $-3\cos(3x)+C$ (d) $-\frac{1}{3}\cos(3x)+C$. Count removable discontinuities of $y=\frac{x+2}{x^{4}+16}$. Options: (a) one (b) two (c) three (d) four.