Differentiation Practice Problems - [Curve Sketching] | Online Math Tutoring LLC | Expert Math Tutor Near Me

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Practice Problems

Answer the following questions by using the integration technique known as u-substitution.

\(\displaystyle \int (2x+1)^2dx\)
\(\displaystyle \int x\sqrt{2x+3}dx\)
\(\displaystyle \int \frac{x}{2x+1}dx\)
\(\displaystyle \int \frac{x^3}{x^2-4}dx \)
\(\displaystyle \int x^2\texttt{e}^{2x^3+1} dx \)

\(\displaystyle \int {\frac{\texttt{e}^{2x}}{1+\texttt{e}^{2x}}} dx \)
\(\displaystyle \int_1^\texttt{e} {\frac{\texttt{ln}(x)}{x} dx} \)
\(\displaystyle \int {\frac{\texttt{sin}(x)}{1+\texttt{cos}(x)}} dx \)
\(\displaystyle \int {\frac{\texttt{e}^x}{1+\texttt{e}^{2x}}} dx \)
\(\displaystyle \int {\frac{dx}{\texttt{e}^x + \texttt{e}^{-x}}} \)

\(\displaystyle \int {\frac{dx}{\sqrt{x}(x+1)}} \)
\(\displaystyle \int {\frac{x}{\sqrt{1-x^4}}} dx \)
\(\displaystyle \int {\frac{x^2}{x^2+1}} dx \)

Suggestive Solution Guide

Problem 1: Solution

Problem 2: Solution

Problem 3: Solution

Problem 4: Solution

Problem 5: Solution

Problem 6: Solution

Problem 7: Solution

Problem 8: Solution

Problem 9: Solution

Problem 10: Solution

Problem 11: Solution

Problem 12: Solution

Problem 13: Solution

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