Math
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1. For a given function guess an antiderivate . Show verification that you guess is correct.
(a) .
(b)
(c)
(d)
2. Find the most general form of the antiderivative of .
3. Find the most general form of the antiderivative of .
4. Find the most general form of the antiderivative of .
5. Find the most general form of the antiderivative of .
6. Find the general form of if . (The general form of has two arbitrary constants.)
7. Find if and .
8. A particle is moving with acceleration (The derivative is taken with respect to ). At time , and the velocity . Find the position function at time .
9. Discuss on the forum but do not submit. Show that if , then is a linear function.