M Question Mode: Multiple Choice X Bb Upload Assignment: GHW13 - M x Bb 36891892 X X learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/6093de9f52e 1b/36891892?X-Blackboard-Expiration=1650931200000&X-Blackboard-Signatu B * 0 E 36891892 2/4 | - 100% + Section 5.3: The Fundamental Theorem of Calculus 1. [2 pts] Use the Fundamental Theorem of Calculus to find the derivative of f (2) = V9 + +3 dt . 2. [2 pts] If g(u) = (1 -12) et dt, on what interval(s) is g increasing! 2 3. [3 pts] If g(y) = f(x) dx, and f(x) = V1+ 12 dt, find g"(7/6). 3 65OF Mostly cloudy O 1:04 PM 4/25/2022 1M Question Mode: Multiple Choice X Bb Upload Assignment: GHW13 - M X Bb 36891892 X X learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/6093de9f52e 1b/36891892?X-Blackboard-Expiration=1650931200000&X-Blackboard-Signatu B * 0 36891892 1 / 4 | 100% + 1. [2 pts] Evaluate the integral / (3-5x) dx by interpreting it in terms of area. (Hint: Sketch the region indicated by the integrand and limits of integration.) 1 2 2. [3 pts] Evaluate the integral / (3-5x)dx by using the definition of the definite integral (i.e., as limit of the Riemann sum as n - co). The following formula will be useful in your work: i= n(n + 1) i= 1 2 3 65OF 1:04 PM Mostly cloudy O ENG 4/25/2022M Question Mode: Multiple Choice X Bb Upload Assignment: GHW13 - M X Bb 36891892 X X C A learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/6093de9f52e 1b/36891892?X-Blackboard-Expiration=1650931200000&X-Blackboard-Signatu B * 0 36891892 4 / 4 100% + Section 5.4: Indefinite Integral and Net Change Theorem 1. [9 pts] Find each of the following indefinite integrals. a. / ( 1+ 2 ) dr b . sint + sint tan" at (Hint: Trigonometric identities may be useful.) 2 sec2 t 3 C . ( r+ 2) 2 73 - dr 65OF Mostly cloudy O ENG 2 4x O 1:05 PM 4/25/2022M Question Mode: Multiple Choice X Bb Upload Assignment: GHW13 - M x Bb 36891892 X X learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/6093de9f52e 1b/36891892?X-Blackboard-Expiration=1650931200000&X-Blackboard-Signatu B * 0 E 36891892 3 / 4 | 100% + 4. [9 pts] Evaluate each integral. Give your result in the simplest exact form. a. J (vx - ) da 2 3 C . sec 0 (sec 0 - cos2 0) de 65OF Mostly cloudy O 1:04 PM 4/25/2022 1