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AP Calc WB5.3 - Definite vs Indefinite Integration

Last updated over 5 years ago

6 questions

1

Question 1

1.

Find v(t) when a(t) = \frac{1}{\sqrt[3]{t}}.

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Question 2

2.

Find y if \frac{dy}{dx} = 4x^3+3 where y(0)=2.

Question 3

3.

Find f(x) if f'(x)=2x-\frac{1}{x^2} where y(1)=5.

Question 4

4.

Find k(x) if k'(x)=\cos(x)-2\sin(x) where k(0)=5.

Question 5

5.

Find h(x) if h'(x)=\frac{1}{x}+2x with initial condition h(1)=0.

Question 6

6.

Find f(x) where f'(x)=\frac{1}{x^4}.