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$\int\frac{s}{s^2+s+20}ds$
Learn how to solve problems step by step online. Find the integral of s/(s^2+s+20). Find the integral. Rewrite the expression \frac{s}{s^2+s+20} inside the integral in factored form. We can solve the integral \int\frac{s}{\frac{79}{4}+\left(s+\frac{1}{2}\right)^2}ds by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of ds, we need to find the derivative of s. We need to calculate ds, we can do that by deriving the equation above.