How would you differentiate and integrate 2x^3?

Integration is the opposite of differentiation.First of all take your 2x3 So in differentiation you would times the power by the coefficient and then minus one from the power.This would give,6x2 in other words (2x3)x(3-1)Now for integration take your 2x3 againNow you want to minus one from the power and divide by your new power, hence giving(2x2) divided by 2Giving x2

SK

Related Maths A Level answers

All answers ▸

What is a logarithm?


a) Differentiate and b) integrate f(x)=xcos(2x) with respect to x


A factory produces cartons each box has height h and base dimensions 2x, x and surface area A. Given that the capacity of a carton has to be 1030cm^3, (a) Using calculus find the value of x for which A is a minimum. (b) Calculate the minimum value of A.


Differentiate the equation y = (1+x^2)^3 with respect to (w.r.t.) x using the chain rule. (Find dy/dx)