![]() For a step-by-step solution using u-substitution, click *e^x^2, and press the "Step-by-step solution" button. ![]() Try clicking *e^x^2 for the definite integral. ![]() Instead of writing a complete solution here, I recommend an online tool called WolframAlpha. To find ∫xe (x^2) dx, you need to use u-substitution. See how the entire second antiderivative, F(0), can be ignored because you just subtract zero? Some students get so used to integrating polynomials that they always ignore a lower limit of zero, but with ∫ 0 1 xe (x^2) dx that's a big mistake, and it's the reason I can't confirm your solution. Where F(x) = x 3/3, the antiderivative of x 2. This is a safe thing to ignore when you're integrating polynomials. Whoever came up with the answer e/2 probably ignored zero as the lower limit of integration. So now we have our lower bound of x=0 and our upper bound of x=1. Attempting to solve the second equation results in no solutions. Y=0 and y=xe (x^2) by using substitution to get: 0=xe (x^2).įrom the zero product property, either x=0 or e (x^2) = 0. You can find the other value by solving the system of equations: What you need first are the values of x that bound the area you're interested in finding. The area between a function and the x-axis (which is the same as the line y=0) is found from the integral of the function.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |