Ned, The indefinite integral of f(x)=x^(3/4) + x^(4/3) is F(x) = (4/7)x^(7/4) + (3/7)x^(7/3) + C, just as you said. Congratulations! I hope you can check such results yourself by differentiating F(x) and getting f(x). I wonder why your teacher uses the term "antiderivative" when the standard term is "integral," which is half as long. --Nelson ----- Original Message ----- From: Ned Granic To: maths@xxxxxxxxxxxxx Sent: Thursday, November 30, 2006 2:28 PM Subject: [maths] antiderivatives; calculus If f(x) = fourth_root(x^3) + cube_root(x^4), then its most general antiderivative function, I thinks, is: F(x) = 4/7x^7/4 + 3/7x^7/3 + C. How far off am I, that is the question! Cheers! Ned