Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using tabular integration
- 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.
$\int\ln\left(\frac{x+3}{2x-1}\right)dx$
Learn how to solve integral calculus problems step by step online. Solve the logarithmic equation y=ln((x+3)/(2x-1)). Find the integral. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Expand the integral \int\left(\ln\left(x+3\right)-\ln\left(2x-1\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\ln\left(x+3\right)dx 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+3 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.