Evaluate the integral ∫∫∫2xzdV bounded by Q. Where Q is the region enclosed by the planes
x + y + z = 4, y = 3x, x = 0, and z = 0.
Is this answer correct? cause i've tried doing this problem a bunch of ways and i never even get close to 16/15. i think the correct answer should be -20992/15. i know that's nice a prettier or cleaner answer but i honestly have know idea how my professor got 16/15. help if the answer really is 16/15.
Which of the following integrals represents the volume of the solid formed by revolving the region bounded by y=x^3, y=1, and x=2 about the line y=10? a) pi*∫from (8-1) of (10-y)(2-y^(1/3))dy b) pi*∫ from (1-2) of
Alright, I want to see if I understand the language of these two problems and their solutions. It asks: If F(x) = [given integrand], find the derivative F'(x). So is F(x) just our function, and F'(x) our antiderivative? 1) F(x) =
So I'm trying to integrate a function using partial fractions. Here is the integral of interest: ∫(3x^2+5x+3)/[(x+2)(x^2+1)]dx. Since the numerator's degree of the polynomial is lesser than that of the denominator's degree,
I just wanted to see if my answer if correct the integral is: ∫(7x^3 + 2x - 3) / (x^2 + 2) when I do a polynomial division I get: ∫ 7x ((-12x - 3)/(x^2 + 2)) dx so then I use u = x^2 + 2 du = 2x dx 1/2 du = x dx =