1/23/2024 0 Comments Integral of x2 ex 1On the other hand, in the second formula, u is the first function and dv is the second function. In the first formula, u is the first function and v is the second function. If u(x) and v(x) are the two functions and are of the form ∫u dv, then the Integration of uv formula is given as: Here we integrate the product of two functions. The integration of uv formula is a special rule of integration by parts. Let's learn the integration of uv formula and its applications. Thus uv rule of integration is also known as integration by parts or the product rule of integration. We expand the differential of a product of functions and express the given integral in terms of a known integral. There are two forms of this formula: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx (or) ∫ u dv = uv - ∫ v du.įurther, the two functions used in this integration of uv formula can be algebraic expressions, trigonometric or logarithmic functions. Integration of uv formula is a convenient means of finding the integration of the product of the two functions u and v.
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