Antiderivatives Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Find an antiderivative for the functions and Write out an equation using an indefinite integral and each of these functions.

(2) Find an antiderivative for the functions and Write out an equation using an indefinite integral and each of these functions.

(3) Find an antiderivative for the functions and Write out an equation using an indefinite integral and each of these functions.

(4) Find an antiderivative for the functions and Write out an equation using an indefinite integral and each of these functions.

(5) Find an antiderivative for the functions and Write out an equation using an indefinite integral and each of these functions.

(6) Find an antiderivative for the functions and Write out an equation using an indefinite integral and each of these functions.

(7) Find an antiderivative for the functions and Write out an equation using an indefinite integral and each of these functions.

(8) Find an antiderivative for the functions and Write out an equation using an indefinite integral and each of these functions.

(9) Find an antiderivative for the functions and Write out an equation using an indefinite integral and each of these functions.

(10) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(11) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(12) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(13) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(14) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(15) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(16) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(17) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(18) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(19) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(20) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(21) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(22) Find the most general antiderivative or indefinite integral for then check you answer by differentiation.

(23) Verify the formula by differentiation where is an arbitrary constant.

(24) Verify the formula by differentiation where is an arbitrary constant.

(25) Verify the formula by differentiation where is an arbitrary constant.

(26) Verify which of the following formulas are right and which are wrong. Write an explanation for each. Assume is an arbitrary constant.

    (a)

    (b)

    (c)

    (d)

    (e)

    (f)

(27) Solve the initial value problem

(28) Solve the initial value problem

(29) Solve the initial value problem and

(30) Solve the initial value problem and

(31) Find a curve with the properties (i) (ii) its graph passes through the point and has a horizontal tangent there. How many curves like this are there? How do you know?

(32) Suppose that and Find and

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Antiderivatives Homework
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
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