Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Find the derivative using the definition
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
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Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\frac{y+3}{x-4}dx$
Learn how to solve integral calculus problems step by step online. Find the antiderivative d/dx(y)=(y+3)/(x-4). Find the integral. We can solve the integral \int\frac{y+3}{x-4}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-4 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. Substituting u and dx in the integral and simplify.