%Caleb McWhorter
%May 6, 2016

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\fancyhead[L]{\Large Calculus II}
\fancyhead[C]{\Large Class Activity: July 25th}
\fancyhead[R]{\Large Summer 2016}
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\begin{document}
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\noindent Evaluate the following:

\begin{2enumerate}

\item $\displaystyle \int \cos(2x-5) \; dx$
\item $\displaystyle \int e^{2x} \sin 2x \; dx$
\item $\displaystyle \int \sin^3(2x) \; dx$
\item $\displaystyle \int \dfrac{dx}{\sqrt{x^2-3^2}} \; dx$
\item $\displaystyle \int \dfrac{8x-1}{x^2+x-6} \; dx$
\item $\displaystyle \int \dfrac{2x^2-16}{x^3+6x^2+8x} \; dx$
\item $\displaystyle \int \dfrac{13x-24}{(x-3)^2(x+2)} \; dx$
\item $\displaystyle \int \dfrac{4x^2-6x+6}{x^3-3x^2+3x-9} \; dx$
\item $\displaystyle \int \dfrac{3x^3+4x^2-5x+4}{x^2+x-2} \; dx$
\item $\displaystyle \int_1^3 \dfrac{dx}{x-2}$
\item $\displaystyle \int \dfrac{3}{2x-5} \; dx$
\item $\displaystyle \int x^2(2+x^3)^2 \; dx$
\item $\displaystyle \int \dfrac{\ln x}{x^2} \; dx$
\item $\displaystyle \int \sin^3 x \cos^4 x \;dx$
\item $\displaystyle \int \dfrac{x^5}{\sqrt{x^2+2}} \; dx$
\item $\displaystyle \int \dfrac{x+1}{x^2+x-2} \; dx$
\item $\displaystyle \int \dfrac{5x-8-3x^2}{x^3-x^2+x-1} \; dx$
\item $\displaystyle \int_0^\infty e^{-x} \; dx$
\item $\displaystyle \int \dfrac{x-5}{x+1} \; dx$
\item $\displaystyle \int \sin^{-1} x \; dx$
\item $\displaystyle \int \sin^4 5x \; dx$
\item $\displaystyle \int \dfrac{dx}{x \sqrt{1+4x^2}} \; dx$
\item $\displaystyle \int \dfrac{3x+12}{x^2+2x} \; dx$	
\item $\displaystyle \int \dfrac{6x^2+8x-2}{3x^3+3x^2-6x} \; dx$	
\item $\displaystyle \int \dfrac{13x+3-x^2}{x^3+5x^2+4x+20} \;dx$
\item $\displaystyle \int \dfrac{x^5+x^4+3x^3+x^2}{x^3-x^2+2x-2} \; dx$
\item $\displaystyle \int_0^\infty \dfrac{dx}{x^2+3}$
\item $\displaystyle \int (2x-1)^7 \; dx$
\item $\displaystyle \int (1-5x)^{3/2} \; dx$
\item $\displaystyle \int x \tan x \sec x \; dx$
\item $\displaystyle \int \sec^4 x  \tan^2 x \; dx$
\item $\displaystyle \int \sec^3 x \tan^5 x \; dx$
\item $\displaystyle \int \dfrac{x}{\sqrt{3-2x-x^2}} \; dx$
\item $\displaystyle \int \sqrt{5+4x-x^2} \; dx$
\item $\displaystyle \int \dfrac{x+4}{x^2-x-6} \; dx$
\item $\displaystyle \int \dfrac{2x^2-12x-126}{(x+6)(x+5)(x-3)} \; dx$
\item $\displaystyle \int \dfrac{6x-x^2+6}{(x+5)(x-2)^2} \; dx$
\item $\displaystyle \int \dfrac{6x^2-x+18}{x^3-2x^2+4x-8} \; dx$
\item $\displaystyle \int \dfrac{dx}{x^{2016}-x}$
\item $\displaystyle \int_0^\infty xe^{-2x} \; dx$
\item $\displaystyle \int \dfrac{x}{x+1} \; dx$
\item $\displaystyle \int \dfrac{x^2}{(x+1)^3} \; dx$
\item $\displaystyle \int \dfrac{x+3}{x-2} \; dx$
\item $\displaystyle \int \left(\dfrac{x-2}{2}\right)^3 \sin 2x \; dx$
\item $\displaystyle \int \ln x \; dx$
\item $\displaystyle \int \arctan 2x \; dx$
\item $\displaystyle \int \cos^2(5x) \; dx$
\item $\displaystyle \int \dfrac{\sqrt{9-x^2}}{x^2} \; dx$
\item $\displaystyle \int \dfrac{dx}{x^2 \sqrt{x^2+4}} \; dx$
\item $\displaystyle \int \dfrac{29-x}{x^2+2x-35} \; dx$
\item $\displaystyle \int \dfrac{x^2+x-14}{(x+2)(x-1)(x-2)} \; dx$
\item $\displaystyle \int \dfrac{4x+7}{(x+1)^2(x+2)} \; dx$
\item $\displaystyle \int \dfrac{12x+5-2x^2}{x^3-4x^2+5x-20} \; dx$	
\item $\displaystyle \int \dfrac{x^4-x^3+3x^2-2x}{x^2+2} \; dx$
\item $\displaystyle \int_{-\infty}^\infty \dfrac{dx}{e^x+e^{-x}}$
\item $\displaystyle \int \dfrac{e^{\sqrt{x}}}{\sqrt{2}} \; dx$
\item $\displaystyle \int 3x e^{x^2+3} \; dx$
\item $\displaystyle \int 3x^2 \ln(x^3+2) \; dx$
\item $\displaystyle \int x^3 \cos x \; dx$
\item $\displaystyle \int x^3 \ln x \; dx$
\item $\displaystyle \int e^x \cos x \; dx$
\item $\displaystyle \int \tan^4 x \; dx$
\item $\displaystyle \int \dfrac{\tan^3 x}{\sqrt{\sec x}} \; dx$
\item $\displaystyle \int \dfrac{\sec x}{\tan^2 x} \; dx$
\item $\displaystyle \int x^3 \sqrt{x^2+16} \; dx$
\item $\displaystyle \int \dfrac{\sqrt{1+x^2}}{x} \; dx$
\item $\displaystyle \int \dfrac{\cos x}{\sqrt{4+\sin^2 x}} \; dx$
\item $\displaystyle \int \dfrac{x+68}{x^2+x-20} \; dx$
\item $\displaystyle \int \dfrac{5x^2+17x+30}{x^3+3x^2-10x} \; dx$
\item $\displaystyle \int \dfrac{4x^2+3x+2}{x^3+x^2} \; dx$
\item $\displaystyle \int \dfrac{2x^2+x+5}{x^3+3x^2+x+3} \; dx$
\item $\displaystyle \int_1^\infty \dfrac{dx}{\sqrt[5]{x}}$
\item $\displaystyle \int_1^\infty \dfrac{dx}{x^3}$
\item $\displaystyle \int \sin(2/3x+1) \; dx$
\item $\displaystyle \int e^{3/2x+1} \; dx$
\item $\displaystyle \int \dfrac{\pi}{7x-2} \; dx$
\item $\displaystyle \int e^{x/2} \cos 3x \; dx$
\item $\displaystyle \int x^3 \sqrt{4-x^2} \; dx$
\item $\displaystyle \int x^2 \sqrt{x-1} \; dx$
\item $\displaystyle \int \sec^2 x \tan x \; dx$
\item $\displaystyle \int \dfrac{dx}{\sec x \tan x}$
\item $\displaystyle \int \tan x \; dx$
\item $\displaystyle \int \dfrac{dx}{\sqrt{x^2+2x-3}}$
\item $\displaystyle \int \dfrac{dx}{\sqrt{x^2-4x+13}} \; dx$
\item $\displaystyle \int \dfrac{\sqrt{9-x^2}}{x^2} \; dx$
\item $\displaystyle \int \dfrac{2x-3}{2x^2+6x} \; dx$
\item $\displaystyle \int \dfrac{5x^2+13x+4}{5x^3+15x^2+10x} \; dx$	
\item $\displaystyle \int \dfrac{dx}{\sqrt{x}(1+\sqrt{x})^2}$
\item $\displaystyle \int \dfrac{dx}{x \ln x}$
\item $\displaystyle \int \sin^2(3x) \cos (3x) \; dx$
\item $\displaystyle \int \dfrac{2x}{e^x} \; dx$
\item $\displaystyle \int \sec^3 x \; dx$
\item $\displaystyle \int x^3 e^{x^2} \; dx$
\item $\displaystyle \int \sin^2 x \cos^3 x \; dx$
\item $\displaystyle \int \dfrac{\cos^3 x}{\sqrt{\sin x}} \; dx$
\item $\displaystyle \int \dfrac{\sqrt{x^2-5}}{x} \; dx$
\item $\displaystyle \int \dfrac{dx}{(x^2+1)^2}$
\item $\displaystyle \int \dfrac{6x^2-x+3}{x^3+2x^2-3x} \; dx$
\item $\displaystyle \int \dfrac{x^2+3x-2}{x^3+x^2+x+1} \; dx$
\item $\displaystyle \int \dfrac{x^2+7x+13}{x+2} \; dx$
\item $\displaystyle \int_0^1 \dfrac{x}{\sqrt{1-x^2}} \; dx$
\item $\displaystyle \int_0^e \ln x \; dx$
\item $\displaystyle \int \left(\dfrac{2x+3}{5} \right)^{5/2} \; dx$
\item $\displaystyle \int \dfrac{4x}{\sqrt{3x^2+7}} \; dx$
\item $\displaystyle \int \dfrac{\sin x}{2+\cos x} \; dx$
\item $\displaystyle \int (\ln x)^2 \; dx$
\item $\displaystyle \int \dfrac{\ln x}{x} \; dx$
\item $\displaystyle \int \cos^5(3x) \; dx$
\item $\displaystyle \int \sin^4 x \cos^4 x \; dx$
\item $\displaystyle \int \cos^4 3x \; dx$
\item $\displaystyle \int \dfrac{x^3}{(4x^2+1)^{3/2}} \; dx$
\item $\displaystyle \int \dfrac{dx}{\sqrt{x^2+9}}$
\item $\displaystyle \int \dfrac{8x+5}{8x^2+40x}\; dx$	
\item $\displaystyle \int \dfrac{5x^2-23x+20}{(x+1)(x-3)^2} \; dx$
\item $\displaystyle \int \dfrac{2x^2+x-2}{x-1} \; dx$
\item $\displaystyle \int_1^3 \dfrac{dx}{(x-2)^2}$ 
\item $\displaystyle \int_0^3 \dfrac{dx}{(x-1)^{2/3}}$
\item $\displaystyle \int \dfrac{x^2}{(x-2)^2} \; dx$
\item $\displaystyle \int x \sqrt{x+3} \; dx$
\item $\displaystyle \int \dfrac{x}{\sqrt{3x+2}} \; dx$
\item $\displaystyle \int \dfrac{x^3 e^{x^2}}{(x^2+1)^2} \; dx$
\item $\displaystyle \int \dfrac{xe^{3x}}{(3x+1)^2} \; dx$
\item $\displaystyle \int \sin^2(2x) \; dx$
\item $\displaystyle \int \dfrac{x}{\sqrt{2x-1}} \; dx$
\item $\displaystyle \int \sec x \; dx$
\item $\displaystyle \int e^x \sqrt{4-e^{2x}} \; dx$

\end{2enumerate}

\end{document}