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Evaluate ∫6186x2x3+15x2+72x+108dx.\int_6^{18}\frac{6x^2}{x^3+15x^2+72x+108}dx.∫618x3+15x2+72x+1086x2dx.
What is ∫1x2+7x+6dx?\int\frac{1}{x^2+7x+6}dx?∫x2+7x+61dx?
Suppose that f(x)f(x)f(x) is a function whose derivative is f′(x)=1x2−2xf'(x)=\frac{1}{x^2-2x}f′(x)=x2−2x1 and that f(−2)=12ln2.f(-2)=\frac{1}{2}\ln2.f(−2)=21ln2. What is the value of f(8)?f(8)?f(8)?
What is ∫x+6x2−9x+20dx?\int\frac{x+6}{x^2-9x+20}dx?∫x2−9x+20x+6dx?
What is ∫1x2−16dx?\int\frac{1}{x^2-16}dx?∫x2−161dx?
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