Question

Use a definite integral to find an expression that represents the area of the region between the given curve and the x-axis on the interval [0,b].
y=6x^2

Answer 1

$\bf y=6x^2\qquad \cfrac{dy}{dx}=12x\qquad [0,b]\\\\ -----------------------------\\\\ \displaystyle \int\limits_{0}^{b}\ 12x\cdot dx$