- #1
luigihs
- 86
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1/x^2 + 4x + 5
1) Completing the square
x^2 + 4x/2 + 5 - 4
(x+2)^2 +1
After this I know what to do??
1) Completing the square
x^2 + 4x/2 + 5 - 4
(x+2)^2 +1
After this I know what to do??
What's your question? You're asking about an integration problem - what is the problem?luigihs said:1/x^2 + 4x + 5
1) Completing the square
x^2 + 4x/2 + 5 - 4
(x+2)^2 +1
After this I know what to do??
"Integration by completing the square" is a method used in calculus to solve integrals that involve quadratic expressions. It involves transforming the quadratic expression into a perfect square form, making it easier to integrate.
"Integration by completing the square" is typically used when the integrand (the expression being integrated) is a quadratic expression. It is also useful when the integrand contains a combination of quadratic and linear terms.
The method of "integration by completing the square" involves adding and subtracting a constant term to the integrand in order to create a perfect square expression. This then allows for the use of the substitution method to solve the integral.
The steps for using "integration by completing the square" are as follows:
"Integration by completing the square" is commonly used in physics and engineering to solve problems involving quadratic equations, such as finding the area under a parabolic curve or calculating the displacement of an object under constant acceleration. It can also be used in economics and finance to calculate the present value of future payments.