1. Find the most general antiderivative of \( f(x)= 3x^4 -8x^3+6x^2 \).

Solution

2. Find \( f\) if \( f' (x)= 4x^2-2\sqrt[5]{x^2} \).

Solution

3. Find \( f\) if \( f'(x)=(x-1)(x+2) \)and \(\displaystyle f(2)=\frac{2}{3} \).

Solution

4. Find \( f \) if \( f''(x)= 2\sin x -\cos x \) , \( f(0)= 2 \), and \( f(\frac{\pi}{2})= 0\).

Solution