Yes, that's true. but since the numerator is nothing like that, it doesn't help at all!Nachore said:take u = (x^5+2x^4+6x^3+12x^2+9x+18)
du = (5x^4+8x^3+18x^2+24x+9)dx
then take the numerator & cancel it out with du.
To integrate an equation, you need to follow the steps of the integration process. First, identify the function and its variables. Then, use the appropriate integration rules and techniques to solve for the indefinite integral. Finally, add any necessary constants to the solution to get the final answer.
Definite integration involves finding the area under a curve between specific limits. It results in a numerical value. Indefinite integration, on the other hand, involves finding a general antiderivative of a function. It results in an expression with a constant term.
There are several integration techniques, such as substitution, integration by parts, and trigonometric substitution. The best technique to use depends on the form of the function being integrated. It is important to practice and familiarize yourself with each technique to determine which one is most appropriate for a given problem.
Yes, most scientific calculators have a built-in integration function. However, it is important to understand the integration process and techniques in order to properly use the calculator and interpret the results.
You can check your answer by taking the derivative of the integrated function and comparing it to the original function. If the derivative matches the original function, then your integration is correct. You can also use online integration calculators or ask a friend or colleague to check your work.