Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by partial fractions
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
- Exact Differential Equation
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Find the integral
Learn how to solve integral calculus problems step by step online.
$\int-\left(1+\sqrt{x+3}\right)dx$
Learn how to solve integral calculus problems step by step online. Simplify the expression f(x)=-(1+(x+3)^1/2). Find the integral. The integral of a function times a constant (-1) is equal to the constant times the integral of the function. Expand the integral \int\left(1+\sqrt{x+3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\sqrt{x+3}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.