Asked by Ray
∫ (2x-1)^2 dx could have two answers:
a) ((2x-1)^3)/6 + C
b) 4/3x^3 - 2x^2 + x + C
Now the question is, how are the two answers related?
I attempted to answer the question by:
"The two answers are related because when finding the derivative of those two different answers, they both result to the original equation. Therefore, they are related by some constant C"?
How correct is that explanation? Or am I missing out something for my answer?
Any help is greatly appreciated!
a) ((2x-1)^3)/6 + C
b) 4/3x^3 - 2x^2 + x + C
Now the question is, how are the two answers related?
I attempted to answer the question by:
"The two answers are related because when finding the derivative of those two different answers, they both result to the original equation. Therefore, they are related by some constant C"?
How correct is that explanation? Or am I missing out something for my answer?
Any help is greatly appreciated!
Answers
Answered by
Steve
since
((2x-1)^3)/6 = 4/3 x^3 - 2x^2 + x - 1/6
the two solutions differ by 1/6
Since C is an arbitrary constant, its value does not matter.
((2x-1)^3)/6 = 4/3 x^3 - 2x^2 + x - 1/6
the two solutions differ by 1/6
Since C is an arbitrary constant, its value does not matter.
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