Yup, they are incorrect.CaityAnn said:Solve y'= Ln(12x)
Homework Equations
Integral of ln(x)= xlnx-x dx
The Attempt at a Solution
12x*ln(12x)-12x dx or even xlnx-x*1/12
But I am pretty sure these are wrong.
Your calculator is correct. [When you have the answer, check to see if yours is the same as this]My calculator gives me xlnx+(ln(12)-1)x wth?
A simple integration problem is a mathematical question that involves finding the antiderivative or integral of a given function. It is used to calculate the area under a curve or to solve problems related to rates of change.
The steps to solve a simple integration problem are:
1. Identify the function and its limits of integration.
2. Simplify the function if possible.
3. Use integration rules, such as the power rule, product rule, or chain rule to find the antiderivative.
4. Apply the limits of integration and solve for the final result.
Definite integration involves finding the area under a curve between specific limits, while indefinite integration involves finding the general antiderivative of a function without any limits. In other words, definite integration gives a numerical value while indefinite integration gives a function.
Some common integration rules include the power rule, product rule, quotient rule, chain rule, and substitution rule. These rules help in finding the antiderivative of a given function.
To check your answer for a simple integration problem, you can differentiate the antiderivative you found to see if it matches the original function. You can also use online integration calculators to verify your answer.