227.77in²
Hopethishelpedyou-haveagooddaybrocya)
Answer:
CH, AR are parallel.
b. the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx
c. the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx
d. the integral of x times the square root of the quantity x squared minus 1, dx
Answer:
B. and C.
General Formulas and Concepts:
Calculus
Differentiation
Integration
U-Substitution
Step-by-step explanation:
*Note:
It seems like B and C are both the same answer.
Let's define our answer choices:
a.
b.
c.
d.
Let's run u-substitution through each of the answer choices:
a.
∴ answer choice A can be evaluated with a simple substitution.
b.
We can see that this integral cannot be evaluated with a simple substitution. In fact, this is a setup for an arctrig integral.
∴ answer choice B cannot be evaluated using a simple substitution.
C.
We can see that this integral cannot be evaluated with a simple substitution. In fact, this is a setup for an arctrig integral.
∴ answer choice C cannot be evaluated using a simple substitution.
D.
Using a little rewriting and integration properties, this integral can be evaluated using a simple substitution.
∴ answer choice D can be evaluated using a simple substitution.
Out of all the choices, we see that B and C cannot be evaluated using a simple substitution.
∴ our answer choices should be B and C.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e