REVIEW PROBLEMS ON DIFFERENTIATION AND INTEGRATION

PART (A): In this set, find and simplify the derivative of the function.

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

(13)

(14)

PART (B): In this set, find the indefinite integral (antiderivative) as indicated. CHECK answers by taking their derivatives.

In most, you must use substitution. In some, you must use integration by parts or by partial fractions.

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

(13)

(14)

PART (A): answers, simplified

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

(13)

(14)

PART (B): answers, simplified

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8) [ integration by parts ]

(9)

(10) [ integration by parts ]

(11) [ partial fractions ]

(12) [ partial fractions ]

(13)

(14)