Use only the fact that 6x(2-x)dx = 4 and the properties of integrals to evaluate the integrals in parts a through d, if possible. 0 a. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. 1 6x(2-x)dx = -4 (Simplify your answer. Type an exact answer, using radicals as needed.) B. The integral cannot be calculated using the given information. b. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. 0 x(2-x)dx = 2 3 (Simplify your answer. Type an exact answer, using radicals as needed.) B. The integral cannot be calculated using the given information. c. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. У 30х(2- 30x(2-x)dx=-20 (Simplify your answer. Type an exact answer, using radicals as needed.) B. The integral cannot be calculated using the given information. d. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. 6x(2-x)dx= A. (Simplify your answer. Type an exact answer, using radicals as needed.) B. The integral cannot be calculated using the given information.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 34E
Question

please can you help with question d? Thank you.

Use only the fact that 6x(2-x)dx = 4 and the properties of integrals to evaluate the integrals in parts a through d, if possible.
0
a. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
A.
1
6x(2-x)dx = -4
(Simplify your answer. Type an exact answer, using radicals as needed.)
B. The integral cannot be calculated using the given information.
b. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
A.
0
x(2-x)dx =
2
3
(Simplify your answer. Type an exact answer, using radicals as needed.)
B. The integral cannot be calculated using the given information.
c. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
A.
У 30х(2-
30x(2-x)dx=-20
(Simplify your answer. Type an exact answer, using radicals as needed.)
B. The integral cannot be calculated using the given information.
d. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
6x(2-x)dx=
A.
(Simplify your answer. Type an exact answer, using radicals as needed.)
B. The integral cannot be calculated using the given information.
Transcribed Image Text:Use only the fact that 6x(2-x)dx = 4 and the properties of integrals to evaluate the integrals in parts a through d, if possible. 0 a. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. 1 6x(2-x)dx = -4 (Simplify your answer. Type an exact answer, using radicals as needed.) B. The integral cannot be calculated using the given information. b. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. 0 x(2-x)dx = 2 3 (Simplify your answer. Type an exact answer, using radicals as needed.) B. The integral cannot be calculated using the given information. c. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. У 30х(2- 30x(2-x)dx=-20 (Simplify your answer. Type an exact answer, using radicals as needed.) B. The integral cannot be calculated using the given information. d. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. 6x(2-x)dx= A. (Simplify your answer. Type an exact answer, using radicals as needed.) B. The integral cannot be calculated using the given information.
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