In 1722, an inequality is given. Write the inequality obtained by: (a) Adding 3 to each side of the given inequality. (b) Subtracting 5 from each side of the given inequality. (c) Multiplying each side of the given inequality by 3. (d) Multiplying each side of the given inequality by -2.

Lecture 34 Indeﬁnite Integrals & Net Change Theorem (Section 5.5) Note the connections between antiderivatives and the deﬁnite integral from: Fundamental Theorem of Calculus, part I ▯ x If f is continuous, then f(t)dt is a Fundamental Theorem of Calculus, part II ▯ b f(x)dx = a where Indeﬁnite Integrals Deﬁnite Integrals