How to integrate and differentiate ((3/x^2)+4x^5+3)

An easy way to integrade and differentiate simple equations is by bringing up all the denominators, in this case rewrite 3/x^2 into 3x^-2. Thus it will be easier to manipulate the powers. For Integration we will need to find what the powers were before reducing them, so we will add +1 on the powers and use the new ones to divide the coefficients. In this case it will become: 3x^-1/-1 + 4x^6/6 + 3x/1 + C and then simplify the answer to -3x^-1 + (2/3)x^6 + 3x + C. *** DON'T FORGET TO ADD C (uknown constant at the end) For Differentiation we will follow an opposite proceedure, reducing the power by one and multiplitying with the initial powers the coefficient: (-2)(3x^-3) + (5)(4x^4), and the simplify to -6x^(-3) +20x^4 *** REMEMBER that every integer of an equation with no x (coeff of x^0) VANISHES!)