Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
- Find break even points
- Load more...
Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\left(x-1\right)^3\left(x+3\right)^2dx$
Learn how to solve integral calculus problems step by step online. Solve the equation y=(x-1)^3(x+3)^2. Find the integral. We can solve the integral \int\left(x-1\right)^3\left(x+3\right)^2dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x-1 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part. Now, in order to rewrite dx in terms of du, we need to find the derivative of u. We need to calculate du, we can do that by deriving the equation above. Rewriting x in terms of u.
