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Additional Resources

Differentiation

1.       Find the derivative of: \begin{aligned} y \ = \ {\Big(3x \ – \ 1 \Big)}^{3} \ \cos \frac{3}{2}x \ \sin \frac{3}{2}x . \end{aligned} Check here for my solution 2.       Find the derivative of: \begin{aligned} y \ = \ 2 \ {\csc}^{3} \Big(4\pi {x}^{3} \ – \ \frac{\pi}{2} \Big). …

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Integration

1. \begin{aligned} \int \frac{6x}{\sqrt{1+x^2}} \ \textrm{d}x = \end{aligned} Check here for my solution 2. \begin{aligned} \int \frac{x}{1+x^2} \ \textrm{d}x = \end{aligned} Check here for my solution 3. \begin{aligned} \int \frac{x^2}{1-x^2} \ \textrm{d}x = \end{aligned} Check here for my solution 4. \begin{aligned} \int \ln (2x+1) \ \textrm{d}x = \end{aligned} Check here for my solution 5. \begin{aligned} …

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