loserspearl said:∫(x2 + 7x) cosx dx
If I make v = (x2 + 7x) and du = cosx dx I get
((x2 + 7x) sinx)/2
If I make v = cosx and du = (x2 + 7x) dx I get
((x3/3 + 7x2/2) cosx)/2
using the form X=Y-X to X=Y/2
Neither are correct, what did I do wrong?
Integration by parts is a mathematical technique used to simplify the integration of a product of two functions. It involves breaking down the original integral into two parts and applying a specific formula to solve it.
Some people may say integration by parts is wrong because it can sometimes lead to incorrect results if the technique is not applied correctly. This may happen due to human error or using the wrong formula.
No, integration by parts is not always wrong. It is a legitimate mathematical technique that can be used to solve certain types of integrals. However, it is important to be cautious and double-check the results to avoid any errors.
No, integration by parts is not suitable for all types of integrals. It is most commonly used for integrals involving products of algebraic, logarithmic, trigonometric, or exponential functions.
To avoid making mistakes when using integration by parts, it is important to carefully choose which function to differentiate and which function to integrate. It is also helpful to double-check the results and practice using the technique frequently.