Created by T Madas VARIOUS INTEGRATION QUESTIONS Created by T Madas Created by T Madas Question y = x2 − x + x3 , x ≠ Find an expression for ∫ y dx x3 + 3x −2 + x + C Question y = 3x − x − x2 +4, x >0 Find an expression for ∫ y dx x + x3 − x + x −1 + C Created by T Madas Created by T Madas Question f ( x) = 6x + x − x2 , x >0 Find an expression for ∫ f ( x ) dx 3x + x + x −1 + C Question The point P (1,3) lies on the curve with equation y = f ( x ) , whose gradient function is given by f ′ ( x ) = x2 − x , x ∈ ℝ Find an equation for f ( x ) f ( x ) = x3 − x + Created by T Madas