Question

Find the area under the curve y = 2x^2 - x^2 from x =1to x = 2 .

Answer 1

integrate from 1 to 2

Answer 2

so y=x^2?

Answer 3

∫(2x^2-x^2)dx from 1 to 2

Therefore ∫(x^2)dx, thus [(1/3)x^3] from 1 to 2

8/3-1/3

The answer is 7/3.

Answer 4

Is theequation of the curve as follows?
\[y=2x ^{2}-x ^{2}\]