Chapter 1. calc_tutorial_5_7_044

1.1 Problem Statement

{3,5,7}
{2,4,8}
2*$a
4*$b
2*$b

Calculate the integral.

1.2 Step 1

Question Sequence

Question 1.1

In order to use a substitution, rewrite in terms of sine and cosine.

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Correct.
Incorrect.

1.3 Step 2

Since the numerator is the derivative of the denominator, except for a constant factor, the substitution form of the integrand is , where a is a constant factor.

Question Sequence

Question 1.2

Use the substitution

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Find du.

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Incorrect. Do you see where you went wrong?
Excellent work.

1.4 Step 3

Question Sequence

Question 1.3

Substitute the expressions for u and for du to write in terms of u.

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Incorrect. Do you see where you went wrong?
Excellent work.

1.5 Step 4

Question Sequence

Question 1.4

Evaluate the indefinite integral in terms of u. (Use C for the constant of integration. Remember to use ln |u| where appropriate.)

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Incorrect. Do you see where you went wrong?
Excellent work.

1.6 Step 5

Question Sequence

Question 1.5

Substitute in to determine the given integral in terms of x.

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Incorrect. Do you see where you went wrong?
Excellent work.