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Implicit Differentiation
 Procedure:
 1. Differentiate both sides with respect to x. (Remember the y' "hookon factor" for any term involving y.)
 2. Collect all y' (or dy/dx) terms on one side of the equations.
 3. Factor out y'.
 4. Divide to solve for y'.



Integration General Power Rule

USubstitution
 1. Let u=radical.
 2. Square both side of this equation to get u^2=number.
 3. Solve for x (in terms of u).
 4. Differentiate the equation from Step 3.
 5. Find dx.
 6. Substitute uexpression for the xexpression in the integral. (usually du is not dx, replace that also)
 7. Integrate.
 8. Substitute back, so that your final answer is again in terms of x.
Note: Step 3 and 4 can be reversed.

Fundamental Theorem of Calculus

Second Fundamental Theorem of Calculus

Second Fundamental Theorem (Chain Rule)



























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