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### Question #2003774: The Fundamental Theorem of Calculus

Question: Evaluate the given definite integral using the fundamental of calculus Solution: The solution consists of 31 words (1 page)Deliverables: Word Document

### Question #2003803: The Fundamental Theorem of Calculus

Question: Apply the Fundamental Theorem of Calculus to find the derivative: $H\left( x \right)=\int\limits_{2}^{{{x}^{2}}}{\sqrt{u-1}du}$ Solution: The solution consists of 24 words (1 page)Deliverables: Word Document

### Question #2003820: Integration by substitution and change of variables

Question: Evaluate $$\int{\frac{{{\log }_{3}}x}{2x}\text{ }}dx$$ Solution: The solution consists of 29 words (1 page)Deliverables: Word Document

### Question #2003843: General Differentiation

Question: Given $$f(x)={{x}^{3}}-3{{x}^{2}}-9x+17$$ a) Find $$f'(x)$$ and locate the first order critical numbers b) Indicate the interval on which $$f$$ is increasing and decreasing. c) Find both coordinates for the…

### Question #2003899: Calculating Derivatives using the Chain Rule

Question: Differentiate: $f\left( t \right)={{\left[ {{t}^{2}}+{{\left( 1+t \right)}^{4}} \right]}^{5}}$ Solution: The solution consists of 35 words (1 page)Deliverables: Word Document

### Question #2003915: Derivatives using the Chain Rule

Question: Differentiate: $y=\sec \left( {{x}^{7}} \right)$ Solution: The solution consists of 26 words (1 page)Deliverables: Word Document

### Question #2003932: Calculating Derivatives using the Chain Rule

Question: Show that the obviously different functions ${{F}_{1}}\left( x \right)=\frac{1}{1-x}\text{ and }{{F}_{2}}\left( x \right)=\frac{x}{1-x}$ are both antiderivatives of $$f\left( x \right)=\frac{1}{{{\left( 1-x \right)}^{2}}}$$. What is the relationship between \({{F}_{1}}\left( x…