calc_tutorial_5_7_021

 
Problem Statement

{2,3,4,5,6,7,8,9}
pow(3,2)
2*3
4*9
2*9
$m+2
6*1
6*$p

Calculate the integral.

 
Step 1

The form of the given indefinite integral resembles the form of .

Thus we should consider a u-substitution that changes to .

Question Sequence

Question 1

Such a substitution is

A.
B.
C.
D.

Find du.

A.
B.
C.
D.
Correct.
Incorrect.

 
Step 2

Question Sequence

Question 2

Substitute and into so that the integrand is rewritten in terms of u only. We will first choose to use the simple algebraic manipulation of multiplying the numerator and denominator of the integrand by x so we can substitute .

A.
B.
C.
D.
Incorrect. Do you see where you went wrong?
Excellent work.

 
Step 3

Question Sequence

Question 3

Since is never less than 0, we have . Use this fact to integrate with respect to u. (Use C for the constant of integration.)

A.
B.
C.
D.
Incorrect. Do you see where you went wrong?
Excellent work.

 
Step 4

Question Sequence

Question 4

Use the substitution to write in terms of x to calculate the indefinite integral. (Use C for the constant of integration.)

A.
B.
C.
D.
Incorrect. Do you see where you went wrong?
Excellent work.