46. How will you know if you can use a Substitution Rule in finding the antiderivative of a function? A. If you can rewrite the function in f(u) = ud(u). B. If you cannot rewrite the function in f(u) = ud(u). C. If the inner function is not differentiable. D. If the outer function is not differentiable.

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46. How will you know if you can use a Substitution Rule in finding the antiderivative of a function?
A. If you can rewrite the function in f(u) = ud(u).
B. If you cannot rewrite the function in f(u) = ud(u).
C. If the inner function is not differentiable.
D. If the outer function is not differentiable.
47. Which of these statements is true?
A.
5x dx = x5 + C
-
C. f 5x¹ dx x5
D. f 5x³ dx = 40x²
B.
5x8 dx = 40x² + C
48. How will you check if you perform the integration correctly?
A. If the derivative of your answer is the given function.
B. If the derivative of your answer is the derivative of the given function.
C. If the derivative of the given function is equal to the derivative of the given function.
D. If the derivative of the given function is the antiderivative of your answer.
49. Draw the region bounded by the lines y = 2, y = -1, x = 1, and x = 2.
A.
B.
C.
D.
50. What is the area of the region in Number 49?
A. 1
C. 3
B. 2
D. 4
Transcribed Image Text:46. How will you know if you can use a Substitution Rule in finding the antiderivative of a function? A. If you can rewrite the function in f(u) = ud(u). B. If you cannot rewrite the function in f(u) = ud(u). C. If the inner function is not differentiable. D. If the outer function is not differentiable. 47. Which of these statements is true? A. 5x dx = x5 + C - C. f 5x¹ dx x5 D. f 5x³ dx = 40x² B. 5x8 dx = 40x² + C 48. How will you check if you perform the integration correctly? A. If the derivative of your answer is the given function. B. If the derivative of your answer is the derivative of the given function. C. If the derivative of the given function is equal to the derivative of the given function. D. If the derivative of the given function is the antiderivative of your answer. 49. Draw the region bounded by the lines y = 2, y = -1, x = 1, and x = 2. A. B. C. D. 50. What is the area of the region in Number 49? A. 1 C. 3 B. 2 D. 4
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