Question
Evaluate the following integrals.$$\int \frac{d x}{x^{2}-2 x+10}$$
Step 1
We can do this by taking half of the coefficient of the x term, squaring it, and adding and subtracting it inside the square. This gives us: $$ \int \frac{d x}{x^{2}-2 x+1-1+10} $$ which simplifies to $$ \int \frac{d x}{(x-1)^{2}+9} $$ Show more…
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