Integrating a product, one factor a derivative ∫dx(t)dtx(t)2dt
Integrating a product, one factor a derivative
Answer & Explanation
Beginner2022-01-21Added 30 answers
If integration by parts gave you 0, its
Beginner2022-01-22Added 36 answers
I’m going to assume that is a typo for .
Look at a specific example, say with . Then
a problem that you would most likely solve by making the substitution , and integrating
But you don’t have to know what x(t) is to make this substitution. If you let , then
Skilled2022-01-27Added 437 answers
Also, since , where , we can use the Second Fundamental Theorem of Calculus to conclude that . No substitution needed.
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