(Solved): Please Help, Thanks! 20. Find the most general antiderivative of the function a) \( f(x)=\frac{1}{2} ...

20. Find the most general antiderivative of the function a) \( f(x)=\frac{1}{2} x^{2}-2 x+6 \) b) \( f(x)=(x+1)(2 x-1) \) 21. Let \( f^{\prime \prime}(x)=2-12 x, f^{\prime}(0)=9, f(2)=15 \) Use antiderivatives to find \( f \) 22. If \( \int_{0}^{10} f(x) d x=17 \) and \( \int_{0}^{1} f(x) d x=12 \), find \( \int_{x}^{10} f(x) d x \) 23. Evaluate the integral