Calculus: The Fundamental Theorem of Calculus – #22


Question: Evaluate the following:

a) \[\frac{dy}{dx}\] if y= \[\frac{x}{\sin x}\]

b) f “(x) if f(x)=x5+3x2-6

c) \[\frac{dy}{dx}\] if x2y3+y3=4

d) the rate of change of f(x)=esinx at x=0

e) \[\int\limits_{1}^{2}{\frac{1}{x}dx}\]

f) \[\int{({{x}^{3}}-6x+5})dx\]

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