nonechelon said:Homework Statement
1/(u²(a+bu)²) a and b are constants u is the variable
Homework Equations
The Attempt at a Solution
i know I am suppose to use substition by parts but i don't know what to use.
thanks for help in advance
Integration by Parts is a method used in calculus to find the integral of a product of two functions. This method is based on the product rule of differentiation and allows us to simplify complicated integrals into simpler ones.
Integration by Parts is most commonly used when the integrand (the function being integrated) is a product of two functions, and one of the functions becomes simpler after being differentiated. It can also be used when one of the functions has a known antiderivative.
To perform Integration by Parts, we use the formula: ∫u dv = uv - ∫v du. This formula involves choosing u and dv, differentiating u and integrating dv, and then plugging these values into the formula to find the integral.
Yes, Integration by Parts can be used for definite integrals. In this case, the formula becomes: ∫a to b u dv = uv∣a to b - ∫a to b v du. The limits of integration are applied to the first term of the formula.
One tip for solving Integration by Parts problems is to choose u and dv strategically. Typically, u should be chosen as the more complicated function, and dv should be chosen as the simpler function. Another tip is to use integration by parts multiple times if necessary, simplifying the integral with each iteration.