Algebra

Partial Fractions

Partial Fractions - Application to Integration

         

Evaluate 6186x2x3+15x2+72x+108dx.\int_6^{18}\frac{6x^2}{x^3+15x^2+72x+108}dx.

What is 1x2+7x+6dx?\int\frac{1}{x^2+7x+6}dx?

Suppose that f(x)f(x) is a function whose derivative is f(x)=1x22xf'(x)=\frac{1}{x^2-2x} and that f(2)=12ln2.f(-2)=\frac{1}{2}\ln2. What is the value of f(8)?f(8)?

What is x+6x29x+20dx?\int\frac{x+6}{x^2-9x+20}dx?

What is 1x216dx?\int\frac{1}{x^2-16}dx?

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