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To integrate ln(x) we will have to use integration by parts. 

The equation for integration by parts is: (then equation written on the whiteboard).

In the case of ln(x), let v=ln(x) ...

The whole phrase is an ablative of manner; it describes the adjective "mobiles" (flexible). They are "mobiles" in regard to "consiliis capiendis" (the act of making plans). <...

Erat: Third person singular imperfect active indicative of esse "to be." "He/she/it was."

Appellāta est: Third person singular perfect passive indicative of appellare "to c...

"In Asia, there was once an acient city which was called Troy. The Greeks beseiged that city for ten years and at last captured it."

convert 30km/h = 8.3 m/s

calculate initial vertical speed U_v = 4.15m/s, calculate initial horizontal speed = 7.19m/s

apply suvat equations v = u + at, s = ut + 1/2at^...