Question
Choosing a Formula In Exercises $5-14$ , select the basic integration formula you can use to find the integral, and identify $u$ and $a$ when appropriate. $$\int \frac{2 t+1}{t^{2}+t-4} d t$$
Step 1
The given integral is of the form \(\int \frac{P(t)}{Q(t)} \, dt\), where \(P(t) = 2t + 1\) and \(Q(t) = t^2 + t - 4\). This suggests that partial fraction decomposition might be a suitable method if \(Q(t)\) can be factored. Show more…
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Choosing a Formula In Exercises $5-14,$ select the basic integration formula you can use to find the indefinite integral, and identify $u$ and $a$ when appropriate. Do not integrate. $$\int \frac{2 t+1}{t^{2}+t-4} d t$$
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