what is the anti deravative of (u^(4)+3square root of u) / u^(2)?

2 ⤊

what is the anti deravative of (u^(4)+3square root of u) / u^(2)?

the question is pretty complicated

2007-12-06 16:58:36 · 2 answers · asked by alkesh831 2 in Science & Mathematics ➔ Botany

2 answers

Botany is probably the wrong category for this...

Divide through term by term:
∫((u^4 + 3√u) / u^2) du
= ∫(u^2 + 3u^(-3/2)) du
= (1/3) u^3 + 3 (-2) u^(-1/2) + c
= (1/3) u^3 - 6 / √u + c.

2007-12-06 17:02:04 · answer #1 · answered by Scarlet Manuka 7 · 1⤊ 0⤋

The answer above mine is right. This is a Calculus II question from college.

2007-12-06 17:44:37 · answer #2 · answered by wilkinson.jeremy 2 · 1⤊ 0⤋