Find the area enclosed by y=6x^2 on the right side of x-axis with curve from origin to (5,0)

how about some work of yours? Looks like you need to review definite integrals. In this case, the area is

∫[0,5] 6x^2 dx

Your description is kinda fuzzy, too. It's better to describe a region by its bounding graphs. In this case, the region bounded by
y = 6x^2
y = 0
x = 5