Question

Express the area of the region under the curve
y = 6x3 + 7x2
and above the x-axis in the form of (integral) A->B of f(x)*dx

Answer 1

\[y=6x ^{3}+7x ^{2}\]

And

\[\int\limits_{A}^{B} f(x)\times dx\]

Answer 2

It depends, if y changes sign between A and B, then the area is not
\[
\int_A^B ( 6 x^3 + 7 x^2 ) dx
\]

Answer 3

I figured it out...they only wanted the part left of the y-axis..Thanks though