Recent content by mathaintmybag

Would this be correct? ∫ x5 √(x4 – 4) dx = ∫ ((x2*x2*x √(x4 – 4)) dx Let u = x2, then du/2 = xdx = ∫ 1/2 (u2√u2 – 4) du Let a = 4 and a2 = 2 = ∫(u2√u2 – a2) du = [x(u2 – a2)3/2 / 4] + [a2x√(u2 – a2) / 8] – (a4/8) ln(x + √(u2 – a2))

I haven't learned how to use trig substitutions yet so that will not help. Thanks for tip anyways.

The reason i used a^2 = 4 and a = 2 is because in the book they used a number of different examples where they changed the number to a letter. We have touched on integration by parts but everything we did learned involved using ex so I am not really sure how to use it here.

Homework Statement I need to use a substitution technique and then the table of integration to integrate the following: ∫ x5 √(x4 – 4) dx and i am given a hint which is x5 = (x3)(x2) I would assume that u = x4 – 4, then du = 4x3 and that at some point a2 = 4 and a = 2 However...