Integration by parts is a technique used in calculus to find the integral of a product of two functions that cannot be easily integrated. It involves the use of the product rule for differentiation.
Integration by parts should be used when the integral of a product of functions cannot be easily evaluated using other integration techniques such as substitution or trigonometric identities.
To use integration by parts, you must first identify the two functions in the integrand and assign one as u and the other as dv. Then, you can use the formula ∫u dv = uv - ∫v du to find the integral.
The formula for integration by parts is ∫u dv = uv - ∫v du. This formula is derived from the product rule for differentiation.
Some tips for solving integration by parts problems include choosing u and dv carefully, trying different combinations of u and dv if the first attempt does not work, and simplifying the integrand before using the formula.