Decide on what substitution to use, and then evaluate the given integral using a substitution. hint [see the faq at the end of the section for advice on deciding on u, and the examples for the mechanics of doing the substitution. see example 5.] (remember to use ln(|u|) where appropriate.) 2) decide on what substitution to use, and then evaluate the given integral using a substitution. hint [see the faq at the end of the section for advice on deciding on u, and the examples for the mechanics of doing the substitution.) 3) decide on what substitution to use, and then evaluate the given integral using a substitution. hint [see the faq at the end of the section for advice on deciding on u, and the examples for the mechanics of doing the substitution.] (remember to use ln(|u|) where appropriate.)

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

step-by-step explanation: