Use the Fundamental Theorem of Calculus to find the "area under curve" of f
(
x
)
=
6
x
+
19
between
x
=
12
and
x
=
15
.

General Formulas and Concepts:

Calculus

Integrals

Integration Rule [Reverse Power Rule]:                                                                  

Integration Rule [Fundamental Theorem of Calculus 1]:                                        

Integration Property [Multiplied Constant]:                                                            

Integration Property [Addition/Subtraction]:                                                          

Area of a Region Formula:                                                                                      

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 6x + 19

Interval [12, 15]

Step 2: Find Area

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)