Calculus Review

Practice Questions

Calculus 3 › Calculus Review

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$\int \frac{2t-1}{t^2+4}dt$

Find the derivative $\small f'(x)$ of the function $\small \small \small \small f(x)=5x^{95}$

Consider the velocity function given by :

Find the position of a particle after seconds if its velocity can be modeled by and the graph of its position function passes through the point .

Evaluate the following integral:

$\int\sin^3 x\cot^2 x dx$

Calculate $\int \cos (x) e^{sin(x)}dx$ .

Consider the velocity function given by :

Find the position of a particle after seconds if its velocity can be modeled by and the graph of its position function passes through the point .

The velocity equation of an object is given by the equation . What is the position of the object at time if the initial position of the object is ?

The acceleration of an object is given by the equation . What is the equation for the position of the object, if the object has an initial velocity of and an initial position of ?

Find the derivative of $\small lnx^{lnx}$ .

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