Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\left(1+s+\frac{5}{\left(s+1\right)^2+1}\right)ds$
Learn how to solve integral calculus problems step by step online. Integrate the function 1+s5/((s+1)^2+1). Find the integral. Expand the integral \int\left(1+s+\frac{5}{\left(s+1\right)^2+1}\right)ds into 3 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\frac{5}{\left(s+1\right)^2+1}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.